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Finding the Fourth Proportional to 165,657.32, 228,530.14 and 97,627.96

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Solution

The fourth proportional to 165,657.32, 228,530.14 and 97,627.96 is: 134,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657.32 : 228,530.14 = 97,627.96 : x
  2. Step 2: Convert to fraction form
    165,657.32/228,530.14 = 97,627.96/x
  3. Step 3: Cross multiply
    165,657.32x = 228,530.14 × 97,627.96
  4. Step 4: Simplify right side
    165,657.32x = 22,310,931,366.71
  5. Step 5: Solve for x
    x = 22,310,931,366.71/165,657.32
  6. Step 6: Final answer
    x = 134,681.23

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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.