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Finding the Fourth Proportional to 201,417.40, 277,959.20 and 110,777.32

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Solution

The fourth proportional to 201,417.40, 277,959.20 and 110,777.32 is: 152,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,417.40 : 277,959.20 = 110,777.32 : x
  2. Step 2: Convert to fraction form
    201,417.40/277,959.20 = 110,777.32/x
  3. Step 3: Cross multiply
    201,417.40x = 277,959.20 × 110,777.32
  4. Step 4: Simplify right side
    201,417.40x = 30,791,575,245.34
  5. Step 5: Solve for x
    x = 30,791,575,245.34/201,417.40
  6. Step 6: Final answer
    x = 152,874.45

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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.