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Finding the Fourth Proportional to 153,510.96, 230,297.49 and 64,764.66

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Solution

The fourth proportional to 153,510.96, 230,297.49 and 64,764.66 is: 97,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,510.96 : 230,297.49 = 64,764.66 : x
  2. Step 2: Convert to fraction form
    153,510.96/230,297.49 = 64,764.66/x
  3. Step 3: Cross multiply
    153,510.96x = 230,297.49 × 64,764.66
  4. Step 4: Simplify right side
    153,510.96x = 14,915,138,638.70
  5. Step 5: Solve for x
    x = 14,915,138,638.70/153,510.96
  6. Step 6: Final answer
    x = 97,160.09

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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.