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Finding the Fourth Proportional to 121,807, 168,109.86 and 71,506

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Solution

The fourth proportional to 121,807, 168,109.86 and 71,506 is: 98,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,807 : 168,109.86 = 71,506 : x
  2. Step 2: Convert to fraction form
    121,807/168,109.86 = 71,506/x
  3. Step 3: Cross multiply
    121,807x = 168,109.86 × 71,506
  4. Step 4: Simplify right side
    121,807x = 12,020,863,649.16
  5. Step 5: Solve for x
    x = 12,020,863,649.16/121,807
  6. Step 6: Final answer
    x = 98,687.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.