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Finding the Fourth Proportional to 153,116.96, 229,645.32 and 145,521.80

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Solution

The fourth proportional to 153,116.96, 229,645.32 and 145,521.80 is: 218,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,116.96 : 229,645.32 = 145,521.80 : x
  2. Step 2: Convert to fraction form
    153,116.96/229,645.32 = 145,521.80/x
  3. Step 3: Cross multiply
    153,116.96x = 229,645.32 × 145,521.80
  4. Step 4: Simplify right side
    153,116.96x = 33,418,400,327.98
  5. Step 5: Solve for x
    x = 33,418,400,327.98/153,116.96
  6. Step 6: Final answer
    x = 218,254.07

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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.