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Finding the Fourth Proportional to 78,006.60, 117,009.90 and 70,133.40

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Solution

The fourth proportional to 78,006.60, 117,009.90 and 70,133.40 is: 105,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.60 : 117,009.90 = 70,133.40 : x
  2. Step 2: Convert to fraction form
    78,006.60/117,009.90 = 70,133.40/x
  3. Step 3: Cross multiply
    78,006.60x = 117,009.90 × 70,133.40
  4. Step 4: Simplify right side
    78,006.60x = 8,206,302,120.66
  5. Step 5: Solve for x
    x = 8,206,302,120.66/78,006.60
  6. Step 6: Final answer
    x = 105,200.10

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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.