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Finding the Fourth Proportional to 545,141.92, 817,655.36 and 145,823

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Solution

The fourth proportional to 545,141.92, 817,655.36 and 145,823 is: 218,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,141.92 : 817,655.36 = 145,823 : x
  2. Step 2: Convert to fraction form
    545,141.92/817,655.36 = 145,823/x
  3. Step 3: Cross multiply
    545,141.92x = 817,655.36 × 145,823
  4. Step 4: Simplify right side
    545,141.92x = 119,232,957,561.28
  5. Step 5: Solve for x
    x = 119,232,957,561.28/545,141.92
  6. Step 6: Final answer
    x = 218,719.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.