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Finding the Fourth Proportional to 316,052.68, 473,980.20 and 105,641.41

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Solution

The fourth proportional to 316,052.68, 473,980.20 and 105,641.41 is: 158,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,052.68 : 473,980.20 = 105,641.41 : x
  2. Step 2: Convert to fraction form
    316,052.68/473,980.20 = 105,641.41/x
  3. Step 3: Cross multiply
    316,052.68x = 473,980.20 × 105,641.41
  4. Step 4: Simplify right side
    316,052.68x = 50,071,936,640.08
  5. Step 5: Solve for x
    x = 50,071,936,640.08/316,052.68
  6. Step 6: Final answer
    x = 158,429.08

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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.