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Finding the Fourth Proportional to 358,098.42, 537,182.70 and 130,455.90

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Solution

The fourth proportional to 358,098.42, 537,182.70 and 130,455.90 is: 195,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,098.42 : 537,182.70 = 130,455.90 : x
  2. Step 2: Convert to fraction form
    358,098.42/537,182.70 = 130,455.90/x
  3. Step 3: Cross multiply
    358,098.42x = 537,182.70 × 130,455.90
  4. Step 4: Simplify right side
    358,098.42x = 70,078,652,592.93
  5. Step 5: Solve for x
    x = 70,078,652,592.93/358,098.42
  6. Step 6: Final answer
    x = 195,696.63

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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.