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Finding the Fourth Proportional to 70,907.20, 106,360.80 and 65,002.30

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Solution

The fourth proportional to 70,907.20, 106,360.80 and 65,002.30 is: 97,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.20 : 106,360.80 = 65,002.30 : x
  2. Step 2: Convert to fraction form
    70,907.20/106,360.80 = 65,002.30/x
  3. Step 3: Cross multiply
    70,907.20x = 106,360.80 × 65,002.30
  4. Step 4: Simplify right side
    70,907.20x = 6,913,696,629.84
  5. Step 5: Solve for x
    x = 6,913,696,629.84/70,907.20
  6. Step 6: Final answer
    x = 97,503.45

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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.