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Finding the Fourth Proportional to 186,219.42, 256,988.16 and 101,341.86

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Solution

The fourth proportional to 186,219.42, 256,988.16 and 101,341.86 is: 139,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,219.42 : 256,988.16 = 101,341.86 : x
  2. Step 2: Convert to fraction form
    186,219.42/256,988.16 = 101,341.86/x
  3. Step 3: Cross multiply
    186,219.42x = 256,988.16 × 101,341.86
  4. Step 4: Simplify right side
    186,219.42x = 26,043,658,132.38
  5. Step 5: Solve for x
    x = 26,043,658,132.38/186,219.42
  6. Step 6: Final answer
    x = 139,854.68

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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.