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Finding the Fourth Proportional to 153,988.87, 230,943.21 and 65,196.67

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Solution

The fourth proportional to 153,988.87, 230,943.21 and 65,196.67 is: 97,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,988.87 : 230,943.21 = 65,196.67 : x
  2. Step 2: Convert to fraction form
    153,988.87/230,943.21 = 65,196.67/x
  3. Step 3: Cross multiply
    153,988.87x = 230,943.21 × 65,196.67
  4. Step 4: Simplify right side
    153,988.87x = 15,056,727,347.77
  5. Step 5: Solve for x
    x = 15,056,727,347.77/153,988.87
  6. Step 6: Final answer
    x = 97,778.03

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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.