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Finding the Fourth Proportional to 201,657.47, 278,256.47 and 116,758.13

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Solution

The fourth proportional to 201,657.47, 278,256.47 and 116,758.13 is: 161,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,657.47 : 278,256.47 = 116,758.13 : x
  2. Step 2: Convert to fraction form
    201,657.47/278,256.47 = 116,758.13/x
  3. Step 3: Cross multiply
    201,657.47x = 278,256.47 × 116,758.13
  4. Step 4: Simplify right side
    201,657.47x = 32,488,703,122.53
  5. Step 5: Solve for x
    x = 32,488,703,122.53/201,657.47
  6. Step 6: Final answer
    x = 161,108.36

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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.