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Finding the Fourth Proportional to 106,776.92, 147,339.32 and 59,023.74

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Solution

The fourth proportional to 106,776.92, 147,339.32 and 59,023.74 is: 81,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.92 : 147,339.32 = 59,023.74 : x
  2. Step 2: Convert to fraction form
    106,776.92/147,339.32 = 59,023.74/x
  3. Step 3: Cross multiply
    106,776.92x = 147,339.32 × 59,023.74
  4. Step 4: Simplify right side
    106,776.92x = 8,696,517,715.46
  5. Step 5: Solve for x
    x = 8,696,517,715.46/106,776.92
  6. Step 6: Final answer
    x = 81,445.67

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1.5x scale

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.