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Finding the Fourth Proportional to 145,380, 218,070 and 38,764.32

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Solution

The fourth proportional to 145,380, 218,070 and 38,764.32 is: 58,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,380 : 218,070 = 38,764.32 : x
  2. Step 2: Convert to fraction form
    145,380/218,070 = 38,764.32/x
  3. Step 3: Cross multiply
    145,380x = 218,070 × 38,764.32
  4. Step 4: Simplify right side
    145,380x = 8,453,335,262.40
  5. Step 5: Solve for x
    x = 8,453,335,262.40/145,380
  6. Step 6: Final answer
    x = 58,146.48

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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.