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Finding the Fourth Proportional to 153,651, 230,515.38 and 42,843

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Solution

The fourth proportional to 153,651, 230,515.38 and 42,843 is: 64,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,651 : 230,515.38 = 42,843 : x
  2. Step 2: Convert to fraction form
    153,651/230,515.38 = 42,843/x
  3. Step 3: Cross multiply
    153,651x = 230,515.38 × 42,843
  4. Step 4: Simplify right side
    153,651x = 9,875,970,425.34
  5. Step 5: Solve for x
    x = 9,875,970,425.34/153,651
  6. Step 6: Final answer
    x = 64,275.34

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