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Finding the Fourth Proportional to 107,214.66, 147,891.87 and 70,916.94

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Solution

The fourth proportional to 107,214.66, 147,891.87 and 70,916.94 is: 97,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214.66 : 147,891.87 = 70,916.94 : x
  2. Step 2: Convert to fraction form
    107,214.66/147,891.87 = 70,916.94/x
  3. Step 3: Cross multiply
    107,214.66x = 147,891.87 × 70,916.94
  4. Step 4: Simplify right side
    107,214.66x = 10,488,038,871.28
  5. Step 5: Solve for x
    x = 10,488,038,871.28/107,214.66
  6. Step 6: Final answer
    x = 97,822.81

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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.