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Finding the Fourth Proportional to 154,492.20, 232,127.10 and 98,359.20

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Solution

The fourth proportional to 154,492.20, 232,127.10 and 98,359.20 is: 147,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.20 : 232,127.10 = 98,359.20 : x
  2. Step 2: Convert to fraction form
    154,492.20/232,127.10 = 98,359.20/x
  3. Step 3: Cross multiply
    154,492.20x = 232,127.10 × 98,359.20
  4. Step 4: Simplify right side
    154,492.20x = 22,831,835,854.32
  5. Step 5: Solve for x
    x = 22,831,835,854.32/154,492.20
  6. Step 6: Final answer
    x = 147,786.33

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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.