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Finding the Fourth Proportional to 201,415.68, 277,508.16 and 147,640.32

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Solution

The fourth proportional to 201,415.68, 277,508.16 and 147,640.32 is: 203,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,415.68 : 277,508.16 = 147,640.32 : x
  2. Step 2: Convert to fraction form
    201,415.68/277,508.16 = 147,640.32/x
  3. Step 3: Cross multiply
    201,415.68x = 277,508.16 × 147,640.32
  4. Step 4: Simplify right side
    201,415.68x = 40,971,393,545.01
  5. Step 5: Solve for x
    x = 40,971,393,545.01/201,415.68
  6. Step 6: Final answer
    x = 203,417.10

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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.