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Finding the Fourth Proportional to 201,085.98, 277,501.80 and 110,451.24

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Solution

The fourth proportional to 201,085.98, 277,501.80 and 110,451.24 is: 152,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.98 : 277,501.80 = 110,451.24 : x
  2. Step 2: Convert to fraction form
    201,085.98/277,501.80 = 110,451.24/x
  3. Step 3: Cross multiply
    201,085.98x = 277,501.80 × 110,451.24
  4. Step 4: Simplify right side
    201,085.98x = 30,650,417,912.23
  5. Step 5: Solve for x
    x = 30,650,417,912.23/201,085.98
  6. Step 6: Final answer
    x = 152,424.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.