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Finding the Fourth Proportional to 186,564, 257,458.32 and 101,681.27

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Solution

The fourth proportional to 186,564, 257,458.32 and 101,681.27 is: 140,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564 : 257,458.32 = 101,681.27 : x
  2. Step 2: Convert to fraction form
    186,564/257,458.32 = 101,681.27/x
  3. Step 3: Cross multiply
    186,564x = 257,458.32 × 101,681.27
  4. Step 4: Simplify right side
    186,564x = 26,178,687,662.37
  5. Step 5: Solve for x
    x = 26,178,687,662.37/186,564
  6. Step 6: Final answer
    x = 140,320.15

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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.