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Finding the Fourth Proportional to 186,316.50, 257,117.38 and 101,434.17

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Solution

The fourth proportional to 186,316.50, 257,117.38 and 101,434.17 is: 139,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,316.50 : 257,117.38 = 101,434.17 : x
  2. Step 2: Convert to fraction form
    186,316.50/257,117.38 = 101,434.17/x
  3. Step 3: Cross multiply
    186,316.50x = 257,117.38 × 101,434.17
  4. Step 4: Simplify right side
    186,316.50x = 26,080,488,032.87
  5. Step 5: Solve for x
    x = 26,080,488,032.87/186,316.50
  6. Step 6: Final answer
    x = 139,979.49

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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.