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Finding the Fourth Proportional to 355,174.50, 532,854.10 and 105,856.50

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Solution

The fourth proportional to 355,174.50, 532,854.10 and 105,856.50 is: 158,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,174.50 : 532,854.10 = 105,856.50 : x
  2. Step 2: Convert to fraction form
    355,174.50/532,854.10 = 105,856.50/x
  3. Step 3: Cross multiply
    355,174.50x = 532,854.10 × 105,856.50
  4. Step 4: Simplify right side
    355,174.50x = 56,406,070,036.65
  5. Step 5: Solve for x
    x = 56,406,070,036.65/355,174.50
  6. Step 6: Final answer
    x = 158,812.27

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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.