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Finding the Fourth Proportional to 97,254.30, 145,881.45 and 96,639.90

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Solution

The fourth proportional to 97,254.30, 145,881.45 and 96,639.90 is: 144,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,254.30 : 145,881.45 = 96,639.90 : x
  2. Step 2: Convert to fraction form
    97,254.30/145,881.45 = 96,639.90/x
  3. Step 3: Cross multiply
    97,254.30x = 145,881.45 × 96,639.90
  4. Step 4: Simplify right side
    97,254.30x = 14,097,968,739.86
  5. Step 5: Solve for x
    x = 14,097,968,739.86/97,254.30
  6. Step 6: Final answer
    x = 144,959.85

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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.