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Finding the Fourth Proportional to 111,398.14, 153,729.42 and 61,097.14

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Solution

The fourth proportional to 111,398.14, 153,729.42 and 61,097.14 is: 84,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,398.14 : 153,729.42 = 61,097.14 : x
  2. Step 2: Convert to fraction form
    111,398.14/153,729.42 = 61,097.14/x
  3. Step 3: Cross multiply
    111,398.14x = 153,729.42 × 61,097.14
  4. Step 4: Simplify right side
    111,398.14x = 9,392,427,895.86
  5. Step 5: Solve for x
    x = 9,392,427,895.86/111,398.14
  6. Step 6: Final answer
    x = 84,314.05

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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.