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Finding the Fourth Proportional to 289,102.49, 398,957.96 and 161,779.13

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Solution

The fourth proportional to 289,102.49, 398,957.96 and 161,779.13 is: 223,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,102.49 : 398,957.96 = 161,779.13 : x
  2. Step 2: Convert to fraction form
    289,102.49/398,957.96 = 161,779.13/x
  3. Step 3: Cross multiply
    289,102.49x = 398,957.96 × 161,779.13
  4. Step 4: Simplify right side
    289,102.49x = 64,543,070,085.03
  5. Step 5: Solve for x
    x = 64,543,070,085.03/289,102.49
  6. Step 6: Final answer
    x = 223,253.25

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1.5x scale

Why These Related Problems?

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