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Finding the Fourth Proportional to 357,897.88, 536,934.48 and 178,068.16

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Solution

The fourth proportional to 357,897.88, 536,934.48 and 178,068.16 is: 267,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,897.88 : 536,934.48 = 178,068.16 : x
  2. Step 2: Convert to fraction form
    357,897.88/536,934.48 = 178,068.16/x
  3. Step 3: Cross multiply
    357,897.88x = 536,934.48 × 178,068.16
  4. Step 4: Simplify right side
    357,897.88x = 95,610,934,894.16
  5. Step 5: Solve for x
    x = 95,610,934,894.16/357,897.88
  6. Step 6: Final answer
    x = 267,145.85

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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.