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Finding the Fourth Proportional to 295,122.88, 442,637.14 and 105,547.85

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Solution

The fourth proportional to 295,122.88, 442,637.14 and 105,547.85 is: 158,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,122.88 : 442,637.14 = 105,547.85 : x
  2. Step 2: Convert to fraction form
    295,122.88/442,637.14 = 105,547.85/x
  3. Step 3: Cross multiply
    295,122.88x = 442,637.14 × 105,547.85
  4. Step 4: Simplify right side
    295,122.88x = 46,719,398,457.15
  5. Step 5: Solve for x
    x = 46,719,398,457.15/295,122.88
  6. Step 6: Final answer
    x = 158,304.90

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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.