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Finding the Fourth Proportional to 102,235.14, 153,148.50 and 81,210.78

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Solution

The fourth proportional to 102,235.14, 153,148.50 and 81,210.78 is: 121,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235.14 : 153,148.50 = 81,210.78 : x
  2. Step 2: Convert to fraction form
    102,235.14/153,148.50 = 81,210.78/x
  3. Step 3: Cross multiply
    102,235.14x = 153,148.50 × 81,210.78
  4. Step 4: Simplify right side
    102,235.14x = 12,437,309,140.83
  5. Step 5: Solve for x
    x = 12,437,309,140.83/102,235.14
  6. Step 6: Final answer
    x = 121,653.96

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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.