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Finding the Fourth Proportional to 97,452.80, 146,078.40 and 52,985.60

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Solution

The fourth proportional to 97,452.80, 146,078.40 and 52,985.60 is: 79,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,452.80 : 146,078.40 = 52,985.60 : x
  2. Step 2: Convert to fraction form
    97,452.80/146,078.40 = 52,985.60/x
  3. Step 3: Cross multiply
    97,452.80x = 146,078.40 × 52,985.60
  4. Step 4: Simplify right side
    97,452.80x = 7,740,051,671.04
  5. Step 5: Solve for x
    x = 7,740,051,671.04/97,452.80
  6. Step 6: Final answer
    x = 79,423.59

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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.