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Finding the Fourth Proportional to 357,261.18, 535,904.10 and 117,380.10

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Solution

The fourth proportional to 357,261.18, 535,904.10 and 117,380.10 is: 176,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,261.18 : 535,904.10 = 117,380.10 : x
  2. Step 2: Convert to fraction form
    357,261.18/535,904.10 = 117,380.10/x
  3. Step 3: Cross multiply
    357,261.18x = 535,904.10 × 117,380.10
  4. Step 4: Simplify right side
    357,261.18x = 62,904,476,848.41
  5. Step 5: Solve for x
    x = 62,904,476,848.41/357,261.18
  6. Step 6: Final answer
    x = 176,074.20

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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.