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Finding the Fourth Proportional to 209,693.40, 313,925.70 and 185,117.40

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Solution

The fourth proportional to 209,693.40, 313,925.70 and 185,117.40 is: 277,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,693.40 : 313,925.70 = 185,117.40 : x
  2. Step 2: Convert to fraction form
    209,693.40/313,925.70 = 185,117.40/x
  3. Step 3: Cross multiply
    209,693.40x = 313,925.70 × 185,117.40
  4. Step 4: Simplify right side
    209,693.40x = 58,113,109,377.18
  5. Step 5: Solve for x
    x = 58,113,109,377.18/209,693.40
  6. Step 6: Final answer
    x = 277,133.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.