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Finding the Fourth Proportional to 152,822.30, 229,233.45 and 142,454.30

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Solution

The fourth proportional to 152,822.30, 229,233.45 and 142,454.30 is: 213,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,822.30 : 229,233.45 = 142,454.30 : x
  2. Step 2: Convert to fraction form
    152,822.30/229,233.45 = 142,454.30/x
  3. Step 3: Cross multiply
    152,822.30x = 229,233.45 × 142,454.30
  4. Step 4: Simplify right side
    152,822.30x = 32,655,290,656.34
  5. Step 5: Solve for x
    x = 32,655,290,656.34/152,822.30
  6. Step 6: Final answer
    x = 213,681.45

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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.