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Finding the Fourth Proportional to 98,784.48, 148,027.05 and 65,384.88

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Solution

The fourth proportional to 98,784.48, 148,027.05 and 65,384.88 is: 97,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784.48 : 148,027.05 = 65,384.88 : x
  2. Step 2: Convert to fraction form
    98,784.48/148,027.05 = 65,384.88/x
  3. Step 3: Cross multiply
    98,784.48x = 148,027.05 × 65,384.88
  4. Step 4: Simplify right side
    98,784.48x = 9,678,730,901.00
  5. Step 5: Solve for x
    x = 9,678,730,901.00/98,784.48
  6. Step 6: Final answer
    x = 97,978.25

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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.