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Finding the Fourth Proportional to 165,557, 228,468.66 and 90,106.04

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Solution

The fourth proportional to 165,557, 228,468.66 and 90,106.04 is: 124,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,557 : 228,468.66 = 90,106.04 : x
  2. Step 2: Convert to fraction form
    165,557/228,468.66 = 90,106.04/x
  3. Step 3: Cross multiply
    165,557x = 228,468.66 × 90,106.04
  4. Step 4: Simplify right side
    165,557x = 20,586,406,216.71
  5. Step 5: Solve for x
    x = 20,586,406,216.71/165,557
  6. Step 6: Final answer
    x = 124,346.34

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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.