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Finding the Fourth Proportional to 78,000.40, 117,000.60 and 61,411.60

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Solution

The fourth proportional to 78,000.40, 117,000.60 and 61,411.60 is: 92,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.40 : 117,000.60 = 61,411.60 : x
  2. Step 2: Convert to fraction form
    78,000.40/117,000.60 = 61,411.60/x
  3. Step 3: Cross multiply
    78,000.40x = 117,000.60 × 61,411.60
  4. Step 4: Simplify right side
    78,000.40x = 7,185,194,046.96
  5. Step 5: Solve for x
    x = 7,185,194,046.96/78,000.40
  6. Step 6: Final answer
    x = 92,117.40

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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.