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Finding the Fourth Proportional to 153,266.32, 229,899.16 and 42,458

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Solution

The fourth proportional to 153,266.32, 229,899.16 and 42,458 is: 63,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,266.32 : 229,899.16 = 42,458 : x
  2. Step 2: Convert to fraction form
    153,266.32/229,899.16 = 42,458/x
  3. Step 3: Cross multiply
    153,266.32x = 229,899.16 × 42,458
  4. Step 4: Simplify right side
    153,266.32x = 9,761,058,535.28
  5. Step 5: Solve for x
    x = 9,761,058,535.28/153,266.32
  6. Step 6: Final answer
    x = 63,686.91

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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.