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Finding the Fourth Proportional to 165,420.16, 228,274.88 and 89,966.72

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Solution

The fourth proportional to 165,420.16, 228,274.88 and 89,966.72 is: 124,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,420.16 : 228,274.88 = 89,966.72 : x
  2. Step 2: Convert to fraction form
    165,420.16/228,274.88 = 89,966.72/x
  3. Step 3: Cross multiply
    165,420.16x = 228,274.88 × 89,966.72
  4. Step 4: Simplify right side
    165,420.16x = 20,537,142,211.99
  5. Step 5: Solve for x
    x = 20,537,142,211.99/165,420.16
  6. Step 6: Final answer
    x = 124,151.39

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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.