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Finding the Fourth Proportional to 153,502, 230,265.96 and 42,694

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Solution

The fourth proportional to 153,502, 230,265.96 and 42,694 is: 64,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,502 : 230,265.96 = 42,694 : x
  2. Step 2: Convert to fraction form
    153,502/230,265.96 = 42,694/x
  3. Step 3: Cross multiply
    153,502x = 230,265.96 × 42,694
  4. Step 4: Simplify right side
    153,502x = 9,830,974,896.24
  5. Step 5: Solve for x
    x = 9,830,974,896.24/153,502
  6. Step 6: Final answer
    x = 64,044.60

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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.