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Finding the Fourth Proportional to 117,211.54, 175,815.99 and 28,465

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Solution

The fourth proportional to 117,211.54, 175,815.99 and 28,465 is: 42,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,211.54 : 175,815.99 = 28,465 : x
  2. Step 2: Convert to fraction form
    117,211.54/175,815.99 = 28,465/x
  3. Step 3: Cross multiply
    117,211.54x = 175,815.99 × 28,465
  4. Step 4: Simplify right side
    117,211.54x = 5,004,602,155.35
  5. Step 5: Solve for x
    x = 5,004,602,155.35/117,211.54
  6. Step 6: Final answer
    x = 42,697.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.