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Finding the Fourth Proportional to 97,435.20, 146,152.80 and 77,752.20

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Solution

The fourth proportional to 97,435.20, 146,152.80 and 77,752.20 is: 116,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,435.20 : 146,152.80 = 77,752.20 : x
  2. Step 2: Convert to fraction form
    97,435.20/146,152.80 = 77,752.20/x
  3. Step 3: Cross multiply
    97,435.20x = 146,152.80 × 77,752.20
  4. Step 4: Simplify right side
    97,435.20x = 11,363,701,736.16
  5. Step 5: Solve for x
    x = 11,363,701,736.16/97,435.20
  6. Step 6: Final answer
    x = 116,628.30

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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.