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Finding the Fourth Proportional to 316,051.24, 473,978.04 and 105,639.97

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Solution

The fourth proportional to 316,051.24, 473,978.04 and 105,639.97 is: 158,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,051.24 : 473,978.04 = 105,639.97 : x
  2. Step 2: Convert to fraction form
    316,051.24/473,978.04 = 105,639.97/x
  3. Step 3: Cross multiply
    316,051.24x = 473,978.04 × 105,639.97
  4. Step 4: Simplify right side
    316,051.24x = 50,071,025,926.26
  5. Step 5: Solve for x
    x = 50,071,025,926.26/316,051.24
  6. Step 6: Final answer
    x = 158,426.92

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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.