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Finding the Fourth Proportional to 121,409.80, 182,114.70 and 38,312.20

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Solution

The fourth proportional to 121,409.80, 182,114.70 and 38,312.20 is: 57,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409.80 : 182,114.70 = 38,312.20 : x
  2. Step 2: Convert to fraction form
    121,409.80/182,114.70 = 38,312.20/x
  3. Step 3: Cross multiply
    121,409.80x = 182,114.70 × 38,312.20
  4. Step 4: Simplify right side
    121,409.80x = 6,977,214,809.34
  5. Step 5: Solve for x
    x = 6,977,214,809.34/121,409.80
  6. Step 6: Final answer
    x = 57,468.30

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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.