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Finding the Fourth Proportional to 106,041.14, 158,715.54 and 77,953.76

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Solution

The fourth proportional to 106,041.14, 158,715.54 and 77,953.76 is: 116,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,041.14 : 158,715.54 = 77,953.76 : x
  2. Step 2: Convert to fraction form
    106,041.14/158,715.54 = 77,953.76/x
  3. Step 3: Cross multiply
    106,041.14x = 158,715.54 × 77,953.76
  4. Step 4: Simplify right side
    106,041.14x = 12,372,473,113.43
  5. Step 5: Solve for x
    x = 12,372,473,113.43/106,041.14
  6. Step 6: Final answer
    x = 116,676.16

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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.