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Finding the Fourth Proportional to 164,373.60, 226,842 and 96,381.12

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Solution

The fourth proportional to 164,373.60, 226,842 and 96,381.12 is: 133,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,373.60 : 226,842 = 96,381.12 : x
  2. Step 2: Convert to fraction form
    164,373.60/226,842 = 96,381.12/x
  3. Step 3: Cross multiply
    164,373.60x = 226,842 × 96,381.12
  4. Step 4: Simplify right side
    164,373.60x = 21,863,286,023.04
  5. Step 5: Solve for x
    x = 21,863,286,023.04/164,373.60
  6. Step 6: Final answer
    x = 133,009.72

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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.