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Finding the Fourth Proportional to 98,952.51, 148,461.63 and 65,803.12

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Solution

The fourth proportional to 98,952.51, 148,461.63 and 65,803.12 is: 98,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,952.51 : 148,461.63 = 65,803.12 : x
  2. Step 2: Convert to fraction form
    98,952.51/148,461.63 = 65,803.12/x
  3. Step 3: Cross multiply
    98,952.51x = 148,461.63 × 65,803.12
  4. Step 4: Simplify right side
    98,952.51x = 9,769,238,454.29
  5. Step 5: Solve for x
    x = 9,769,238,454.29/98,952.51
  6. Step 6: Final answer
    x = 98,726.54

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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.