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Finding the Fourth Proportional to 186,641.80, 257,492.16 and 114,897.16

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Solution

The fourth proportional to 186,641.80, 257,492.16 and 114,897.16 is: 158,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,641.80 : 257,492.16 = 114,897.16 : x
  2. Step 2: Convert to fraction form
    186,641.80/257,492.16 = 114,897.16/x
  3. Step 3: Cross multiply
    186,641.80x = 257,492.16 × 114,897.16
  4. Step 4: Simplify right side
    186,641.80x = 29,585,117,906.27
  5. Step 5: Solve for x
    x = 29,585,117,906.27/186,641.80
  6. Step 6: Final answer
    x = 158,512.82

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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.