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Finding the Fourth Proportional to 495,142.01, 742,552.71 and 158,103.70

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Solution

The fourth proportional to 495,142.01, 742,552.71 and 158,103.70 is: 237,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,142.01 : 742,552.71 = 158,103.70 : x
  2. Step 2: Convert to fraction form
    495,142.01/742,552.71 = 158,103.70/x
  3. Step 3: Cross multiply
    495,142.01x = 742,552.71 × 158,103.70
  4. Step 4: Simplify right side
    495,142.01x = 117,400,328,724.68
  5. Step 5: Solve for x
    x = 117,400,328,724.68/495,142.01
  6. Step 6: Final answer
    x = 237,104.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.