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Finding the Fourth Proportional to 186,461.34, 257,324.52 and 101,583.06

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Solution

The fourth proportional to 186,461.34, 257,324.52 and 101,583.06 is: 140,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,461.34 : 257,324.52 = 101,583.06 : x
  2. Step 2: Convert to fraction form
    186,461.34/257,324.52 = 101,583.06/x
  3. Step 3: Cross multiply
    186,461.34x = 257,324.52 × 101,583.06
  4. Step 4: Simplify right side
    186,461.34x = 26,139,812,154.63
  5. Step 5: Solve for x
    x = 26,139,812,154.63/186,461.34
  6. Step 6: Final answer
    x = 140,188.91

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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.