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Finding the Fourth Proportional to 141,503.16, 195,272.28 and 77,837.16

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Solution

The fourth proportional to 141,503.16, 195,272.28 and 77,837.16 is: 107,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,503.16 : 195,272.28 = 77,837.16 : x
  2. Step 2: Convert to fraction form
    141,503.16/195,272.28 = 77,837.16/x
  3. Step 3: Cross multiply
    141,503.16x = 195,272.28 × 77,837.16
  4. Step 4: Simplify right side
    141,503.16x = 15,199,439,701.92
  5. Step 5: Solve for x
    x = 15,199,439,701.92/141,503.16
  6. Step 6: Final answer
    x = 107,414.14

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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.