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Finding the Fourth Proportional to 157,141.08, 216,825.98 and 102,678.84

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Solution

The fourth proportional to 157,141.08, 216,825.98 and 102,678.84 is: 141,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,141.08 : 216,825.98 = 102,678.84 : x
  2. Step 2: Convert to fraction form
    157,141.08/216,825.98 = 102,678.84/x
  3. Step 3: Cross multiply
    157,141.08x = 216,825.98 × 102,678.84
  4. Step 4: Simplify right side
    157,141.08x = 22,263,439,594.87
  5. Step 5: Solve for x
    x = 22,263,439,594.87/157,141.08
  6. Step 6: Final answer
    x = 141,678.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.