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Finding the Fourth Proportional to 98,970.55, 148,488.41 and 65,821.03

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Solution

The fourth proportional to 98,970.55, 148,488.41 and 65,821.03 is: 98,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970.55 : 148,488.41 = 65,821.03 : x
  2. Step 2: Convert to fraction form
    98,970.55/148,488.41 = 65,821.03/x
  3. Step 3: Cross multiply
    98,970.55x = 148,488.41 × 65,821.03
  4. Step 4: Simplify right side
    98,970.55x = 9,773,660,089.26
  5. Step 5: Solve for x
    x = 9,773,660,089.26/98,970.55
  6. Step 6: Final answer
    x = 98,753.22

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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.