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Finding the Fourth Proportional to 132,730, 183,167.40 and 73,114

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Solution

The fourth proportional to 132,730, 183,167.40 and 73,114 is: 100,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,730 : 183,167.40 = 73,114 : x
  2. Step 2: Convert to fraction form
    132,730/183,167.40 = 73,114/x
  3. Step 3: Cross multiply
    132,730x = 183,167.40 × 73,114
  4. Step 4: Simplify right side
    132,730x = 13,392,101,283.60
  5. Step 5: Solve for x
    x = 13,392,101,283.60/132,730
  6. Step 6: Final answer
    x = 100,897.32

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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.