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Finding the Fourth Proportional to 98,133.68, 147,069.96 and 53,693.36

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Solution

The fourth proportional to 98,133.68, 147,069.96 and 53,693.36 is: 80,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,133.68 : 147,069.96 = 53,693.36 : x
  2. Step 2: Convert to fraction form
    98,133.68/147,069.96 = 53,693.36/x
  3. Step 3: Cross multiply
    98,133.68x = 147,069.96 × 53,693.36
  4. Step 4: Simplify right side
    98,133.68x = 7,896,680,307.47
  5. Step 5: Solve for x
    x = 7,896,680,307.47/98,133.68
  6. Step 6: Final answer
    x = 80,468.60

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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.