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Finding the Fourth Proportional to 98,330.61, 147,384.39 and 86,461.47

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Solution

The fourth proportional to 98,330.61, 147,384.39 and 86,461.47 is: 129,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,330.61 : 147,384.39 = 86,461.47 : x
  2. Step 2: Convert to fraction form
    98,330.61/147,384.39 = 86,461.47/x
  3. Step 3: Cross multiply
    98,330.61x = 147,384.39 × 86,461.47
  4. Step 4: Simplify right side
    98,330.61x = 12,743,071,014.45
  5. Step 5: Solve for x
    x = 12,743,071,014.45/98,330.61
  6. Step 6: Final answer
    x = 129,594.14

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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.