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Finding the Fourth Proportional to 145,064.60, 217,305.30 and 97,825.40

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Solution

The fourth proportional to 145,064.60, 217,305.30 and 97,825.40 is: 146,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064.60 : 217,305.30 = 97,825.40 : x
  2. Step 2: Convert to fraction form
    145,064.60/217,305.30 = 97,825.40/x
  3. Step 3: Cross multiply
    145,064.60x = 217,305.30 × 97,825.40
  4. Step 4: Simplify right side
    145,064.60x = 21,257,977,894.62
  5. Step 5: Solve for x
    x = 21,257,977,894.62/145,064.60
  6. Step 6: Final answer
    x = 146,541.46

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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.