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Finding the Fourth Proportional to 186,825.76, 257,854.71 and 117,007.41

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Solution

The fourth proportional to 186,825.76, 257,854.71 and 117,007.41 is: 161,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,825.76 : 257,854.71 = 117,007.41 : x
  2. Step 2: Convert to fraction form
    186,825.76/257,854.71 = 117,007.41/x
  3. Step 3: Cross multiply
    186,825.76x = 257,854.71 × 117,007.41
  4. Step 4: Simplify right side
    186,825.76x = 30,170,911,773.40
  5. Step 5: Solve for x
    x = 30,170,911,773.40/186,825.76
  6. Step 6: Final answer
    x = 161,492.25

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1.5x scale

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.