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Finding the Fourth Proportional to 153,461.90, 230,156.39 and 58,657.27

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Solution

The fourth proportional to 153,461.90, 230,156.39 and 58,657.27 is: 87,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,461.90 : 230,156.39 = 58,657.27 : x
  2. Step 2: Convert to fraction form
    153,461.90/230,156.39 = 58,657.27/x
  3. Step 3: Cross multiply
    153,461.90x = 230,156.39 × 58,657.27
  4. Step 4: Simplify right side
    153,461.90x = 13,500,345,510.46
  5. Step 5: Solve for x
    x = 13,500,345,510.46/153,461.90
  6. Step 6: Final answer
    x = 87,971.97

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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.