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Finding the Fourth Proportional to 165,838, 228,862.62 and 94,230.16

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Solution

The fourth proportional to 165,838, 228,862.62 and 94,230.16 is: 130,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,838 : 228,862.62 = 94,230.16 : x
  2. Step 2: Convert to fraction form
    165,838/228,862.62 = 94,230.16/x
  3. Step 3: Cross multiply
    165,838x = 228,862.62 × 94,230.16
  4. Step 4: Simplify right side
    165,838x = 21,565,761,300.62
  5. Step 5: Solve for x
    x = 21,565,761,300.62/165,838
  6. Step 6: Final answer
    x = 130,041.13

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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.