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Finding the Fourth Proportional to 153,387.46, 211,673.01 and 85,402.95

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Solution

The fourth proportional to 153,387.46, 211,673.01 and 85,402.95 is: 117,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,387.46 : 211,673.01 = 85,402.95 : x
  2. Step 2: Convert to fraction form
    153,387.46/211,673.01 = 85,402.95/x
  3. Step 3: Cross multiply
    153,387.46x = 211,673.01 × 85,402.95
  4. Step 4: Simplify right side
    153,387.46x = 18,077,499,489.38
  5. Step 5: Solve for x
    x = 18,077,499,489.38/153,387.46
  6. Step 6: Final answer
    x = 117,855.13

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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.