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Finding the Fourth Proportional to 97,318.60, 145,977.90 and 96,006.40

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Solution

The fourth proportional to 97,318.60, 145,977.90 and 96,006.40 is: 144,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,318.60 : 145,977.90 = 96,006.40 : x
  2. Step 2: Convert to fraction form
    97,318.60/145,977.90 = 96,006.40/x
  3. Step 3: Cross multiply
    97,318.60x = 145,977.90 × 96,006.40
  4. Step 4: Simplify right side
    97,318.60x = 14,014,812,658.56
  5. Step 5: Solve for x
    x = 14,014,812,658.56/97,318.60
  6. Step 6: Final answer
    x = 144,009.60

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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.