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Finding the Fourth Proportional to 268,294.31, 370,165.40 and 160,825.13

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Solution

The fourth proportional to 268,294.31, 370,165.40 and 160,825.13 is: 221,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,294.31 : 370,165.40 = 160,825.13 : x
  2. Step 2: Convert to fraction form
    268,294.31/370,165.40 = 160,825.13/x
  3. Step 3: Cross multiply
    268,294.31x = 370,165.40 × 160,825.13
  4. Step 4: Simplify right side
    268,294.31x = 59,531,897,127.74
  5. Step 5: Solve for x
    x = 59,531,897,127.74/268,294.31
  6. Step 6: Final answer
    x = 221,890.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.