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Finding the Fourth Proportional to 152,233.60, 228,004.80 and 78,275.20

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Solution

The fourth proportional to 152,233.60, 228,004.80 and 78,275.20 is: 117,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,233.60 : 228,004.80 = 78,275.20 : x
  2. Step 2: Convert to fraction form
    152,233.60/228,004.80 = 78,275.20/x
  3. Step 3: Cross multiply
    152,233.60x = 228,004.80 × 78,275.20
  4. Step 4: Simplify right side
    152,233.60x = 17,847,121,320.96
  5. Step 5: Solve for x
    x = 17,847,121,320.96/152,233.60
  6. Step 6: Final answer
    x = 117,235.10

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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.