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Finding the Fourth Proportional to 97,699.60, 146,376.60 and 82,838.80

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Solution

The fourth proportional to 97,699.60, 146,376.60 and 82,838.80 is: 124,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,699.60 : 146,376.60 = 82,838.80 : x
  2. Step 2: Convert to fraction form
    97,699.60/146,376.60 = 82,838.80/x
  3. Step 3: Cross multiply
    97,699.60x = 146,376.60 × 82,838.80
  4. Step 4: Simplify right side
    97,699.60x = 12,125,661,892.08
  5. Step 5: Solve for x
    x = 12,125,661,892.08/97,699.60
  6. Step 6: Final answer
    x = 124,111.68

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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.