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Finding the Fourth Proportional to 98,951.51, 148,460.13 and 65,802.12

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Solution

The fourth proportional to 98,951.51, 148,460.13 and 65,802.12 is: 98,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,951.51 : 148,460.13 = 65,802.12 : x
  2. Step 2: Convert to fraction form
    98,951.51/148,460.13 = 65,802.12/x
  3. Step 3: Cross multiply
    98,951.51x = 148,460.13 × 65,802.12
  4. Step 4: Simplify right side
    98,951.51x = 9,768,991,289.48
  5. Step 5: Solve for x
    x = 9,768,991,289.48/98,951.51
  6. Step 6: Final answer
    x = 98,725.04

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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.