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Finding the Fourth Proportional to 213,812.74, 295,061.70 and 117,016.54

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Solution

The fourth proportional to 213,812.74, 295,061.70 and 117,016.54 is: 161,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812.74 : 295,061.70 = 117,016.54 : x
  2. Step 2: Convert to fraction form
    213,812.74/295,061.70 = 117,016.54/x
  3. Step 3: Cross multiply
    213,812.74x = 295,061.70 × 117,016.54
  4. Step 4: Simplify right side
    213,812.74x = 34,527,099,220.52
  5. Step 5: Solve for x
    x = 34,527,099,220.52/213,812.74
  6. Step 6: Final answer
    x = 161,482.89

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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.