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Finding the Fourth Proportional to 153,000.30, 229,500.45 and 118,008.30

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Solution

The fourth proportional to 153,000.30, 229,500.45 and 118,008.30 is: 177,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000.30 : 229,500.45 = 118,008.30 : x
  2. Step 2: Convert to fraction form
    153,000.30/229,500.45 = 118,008.30/x
  3. Step 3: Cross multiply
    153,000.30x = 229,500.45 × 118,008.30
  4. Step 4: Simplify right side
    153,000.30x = 27,082,957,953.74
  5. Step 5: Solve for x
    x = 27,082,957,953.74/153,000.30
  6. Step 6: Final answer
    x = 177,012.45

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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.