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Finding the Fourth Proportional to 262,107.60, 392,821.20 and 121,567.20

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Solution

The fourth proportional to 262,107.60, 392,821.20 and 121,567.20 is: 182,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,107.60 : 392,821.20 = 121,567.20 : x
  2. Step 2: Convert to fraction form
    262,107.60/392,821.20 = 121,567.20/x
  3. Step 3: Cross multiply
    262,107.60x = 392,821.20 × 121,567.20
  4. Step 4: Simplify right side
    262,107.60x = 47,754,173,384.64
  5. Step 5: Solve for x
    x = 47,754,173,384.64/262,107.60
  6. Step 6: Final answer
    x = 182,193.01

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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.