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Finding the Fourth Proportional to 121,409.40, 182,114.10 and 42,497.40

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Solution

The fourth proportional to 121,409.40, 182,114.10 and 42,497.40 is: 63,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409.40 : 182,114.10 = 42,497.40 : x
  2. Step 2: Convert to fraction form
    121,409.40/182,114.10 = 42,497.40/x
  3. Step 3: Cross multiply
    121,409.40x = 182,114.10 × 42,497.40
  4. Step 4: Simplify right side
    121,409.40x = 7,739,375,753.34
  5. Step 5: Solve for x
    x = 7,739,375,753.34/121,409.40
  6. Step 6: Final answer
    x = 63,746.10

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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.