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Finding the Fourth Proportional to 315,684.92, 473,551.68 and 105,322.52

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Solution

The fourth proportional to 315,684.92, 473,551.68 and 105,322.52 is: 157,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,684.92 : 473,551.68 = 105,322.52 : x
  2. Step 2: Convert to fraction form
    315,684.92/473,551.68 = 105,322.52/x
  3. Step 3: Cross multiply
    315,684.92x = 473,551.68 × 105,322.52
  4. Step 4: Simplify right side
    315,684.92x = 49,875,656,287.83
  5. Step 5: Solve for x
    x = 49,875,656,287.83/315,684.92
  6. Step 6: Final answer
    x = 157,991.89

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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.