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Finding the Fourth Proportional to 97,674.16, 134,802.78 and 55,231.78

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Solution

The fourth proportional to 97,674.16, 134,802.78 and 55,231.78 is: 76,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,674.16 : 134,802.78 = 55,231.78 : x
  2. Step 2: Convert to fraction form
    97,674.16/134,802.78 = 55,231.78/x
  3. Step 3: Cross multiply
    97,674.16x = 134,802.78 × 55,231.78
  4. Step 4: Simplify right side
    97,674.16x = 7,445,397,488.35
  5. Step 5: Solve for x
    x = 7,445,397,488.35/97,674.16
  6. Step 6: Final answer
    x = 76,226.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.