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Finding the Fourth Proportional to 242,528.66, 334,693.11 and 140,561.66

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Solution

The fourth proportional to 242,528.66, 334,693.11 and 140,561.66 is: 193,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,528.66 : 334,693.11 = 140,561.66 : x
  2. Step 2: Convert to fraction form
    242,528.66/334,693.11 = 140,561.66/x
  3. Step 3: Cross multiply
    242,528.66x = 334,693.11 × 140,561.66
  4. Step 4: Simplify right side
    242,528.66x = 47,045,019,132.16
  5. Step 5: Solve for x
    x = 47,045,019,132.16/242,528.66
  6. Step 6: Final answer
    x = 193,977.15

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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.