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Finding the Fourth Proportional to 155,351.84, 232,866.16 and 105,436

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Solution

The fourth proportional to 155,351.84, 232,866.16 and 105,436 is: 158,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,351.84 : 232,866.16 = 105,436 : x
  2. Step 2: Convert to fraction form
    155,351.84/232,866.16 = 105,436/x
  3. Step 3: Cross multiply
    155,351.84x = 232,866.16 × 105,436
  4. Step 4: Simplify right side
    155,351.84x = 24,552,476,445.76
  5. Step 5: Solve for x
    x = 24,552,476,445.76/155,351.84
  6. Step 6: Final answer
    x = 158,044.32

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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.