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Finding the Fourth Proportional to 97,404.60, 146,106.90 and 80,783.40

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Solution

The fourth proportional to 97,404.60, 146,106.90 and 80,783.40 is: 121,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404.60 : 146,106.90 = 80,783.40 : x
  2. Step 2: Convert to fraction form
    97,404.60/146,106.90 = 80,783.40/x
  3. Step 3: Cross multiply
    97,404.60x = 146,106.90 × 80,783.40
  4. Step 4: Simplify right side
    97,404.60x = 11,803,012,145.46
  5. Step 5: Solve for x
    x = 11,803,012,145.46/97,404.60
  6. Step 6: Final answer
    x = 121,175.10

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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.