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Finding the Fourth Proportional to 97,225.40, 145,838.10 and 83,228.60

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Solution

The fourth proportional to 97,225.40, 145,838.10 and 83,228.60 is: 124,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225.40 : 145,838.10 = 83,228.60 : x
  2. Step 2: Convert to fraction form
    97,225.40/145,838.10 = 83,228.60/x
  3. Step 3: Cross multiply
    97,225.40x = 145,838.10 × 83,228.60
  4. Step 4: Simplify right side
    97,225.40x = 12,137,900,889.66
  5. Step 5: Solve for x
    x = 12,137,900,889.66/97,225.40
  6. Step 6: Final answer
    x = 124,842.90

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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.