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Finding the Fourth Proportional to 243,794.75, 336,465.17 and 141,824.51

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Solution

The fourth proportional to 243,794.75, 336,465.17 and 141,824.51 is: 195,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,794.75 : 336,465.17 = 141,824.51 : x
  2. Step 2: Convert to fraction form
    243,794.75/336,465.17 = 141,824.51/x
  3. Step 3: Cross multiply
    243,794.75x = 336,465.17 × 141,824.51
  4. Step 4: Simplify right side
    243,794.75x = 47,719,007,668.34
  5. Step 5: Solve for x
    x = 47,719,007,668.34/243,794.75
  6. Step 6: Final answer
    x = 195,734.35

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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.