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Finding the Fourth Proportional to 76,985.60, 115,478.40 and 52,102.40

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Solution

The fourth proportional to 76,985.60, 115,478.40 and 52,102.40 is: 78,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.60 : 115,478.40 = 52,102.40 : x
  2. Step 2: Convert to fraction form
    76,985.60/115,478.40 = 52,102.40/x
  3. Step 3: Cross multiply
    76,985.60x = 115,478.40 × 52,102.40
  4. Step 4: Simplify right side
    76,985.60x = 6,016,701,788.16
  5. Step 5: Solve for x
    x = 6,016,701,788.16/76,985.60
  6. Step 6: Final answer
    x = 78,153.60

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1.5x scale

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.