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Finding the Fourth Proportional to 165,886.16, 228,923.01 and 90,434.66

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Solution

The fourth proportional to 165,886.16, 228,923.01 and 90,434.66 is: 124,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,886.16 : 228,923.01 = 90,434.66 : x
  2. Step 2: Convert to fraction form
    165,886.16/228,923.01 = 90,434.66/x
  3. Step 3: Cross multiply
    165,886.16x = 228,923.01 × 90,434.66
  4. Step 4: Simplify right side
    165,886.16x = 20,702,573,430.91
  5. Step 5: Solve for x
    x = 20,702,573,430.91/165,886.16
  6. Step 6: Final answer
    x = 124,799.89

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