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Finding the Fourth Proportional to 155,385.40, 233,193.30 and 102,777.40

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Solution

The fourth proportional to 155,385.40, 233,193.30 and 102,777.40 is: 154,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,385.40 : 233,193.30 = 102,777.40 : x
  2. Step 2: Convert to fraction form
    155,385.40/233,193.30 = 102,777.40/x
  3. Step 3: Cross multiply
    155,385.40x = 233,193.30 × 102,777.40
  4. Step 4: Simplify right side
    155,385.40x = 23,967,001,071.42
  5. Step 5: Solve for x
    x = 23,967,001,071.42/155,385.40
  6. Step 6: Final answer
    x = 154,242.30

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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.