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Finding the Fourth Proportional to 209,526.58, 289,177.15 and 117,656.18

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Solution

The fourth proportional to 209,526.58, 289,177.15 and 117,656.18 is: 162,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,526.58 : 289,177.15 = 117,656.18 : x
  2. Step 2: Convert to fraction form
    209,526.58/289,177.15 = 117,656.18/x
  3. Step 3: Cross multiply
    209,526.58x = 289,177.15 × 117,656.18
  4. Step 4: Simplify right side
    209,526.58x = 34,023,477,366.40
  5. Step 5: Solve for x
    x = 34,023,477,366.40/209,526.58
  6. Step 6: Final answer
    x = 162,382.64

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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.