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Finding the Fourth Proportional to 232,492, 348,741.24 and 66,280

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Solution

The fourth proportional to 232,492, 348,741.24 and 66,280 is: 99,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,492 : 348,741.24 = 66,280 : x
  2. Step 2: Convert to fraction form
    232,492/348,741.24 = 66,280/x
  3. Step 3: Cross multiply
    232,492x = 348,741.24 × 66,280
  4. Step 4: Simplify right side
    232,492x = 23,114,569,387.20
  5. Step 5: Solve for x
    x = 23,114,569,387.20/232,492
  6. Step 6: Final answer
    x = 99,420.92

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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.