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Finding the Fourth Proportional to 117,362.40, 176,095.44 and 47,378.40

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Solution

The fourth proportional to 117,362.40, 176,095.44 and 47,378.40 is: 71,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,362.40 : 176,095.44 = 47,378.40 : x
  2. Step 2: Convert to fraction form
    117,362.40/176,095.44 = 47,378.40/x
  3. Step 3: Cross multiply
    117,362.40x = 176,095.44 × 47,378.40
  4. Step 4: Simplify right side
    117,362.40x = 8,343,120,194.50
  5. Step 5: Solve for x
    x = 8,343,120,194.50/117,362.40
  6. Step 6: Final answer
    x = 71,088.53

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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.