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Finding the Fourth Proportional to 153,288, 229,932 and 42,480

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Solution

The fourth proportional to 153,288, 229,932 and 42,480 is: 63,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,288 : 229,932 = 42,480 : x
  2. Step 2: Convert to fraction form
    153,288/229,932 = 42,480/x
  3. Step 3: Cross multiply
    153,288x = 229,932 × 42,480
  4. Step 4: Simplify right side
    153,288x = 9,767,511,360
  5. Step 5: Solve for x
    x = 9,767,511,360/153,288
  6. Step 6: Final answer
    x = 63,720

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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.