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Finding the Fourth Proportional to 152,283.75, 210,246.90 and 97,857.96

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Solution

The fourth proportional to 152,283.75, 210,246.90 and 97,857.96 is: 135,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,283.75 : 210,246.90 = 97,857.96 : x
  2. Step 2: Convert to fraction form
    152,283.75/210,246.90 = 97,857.96/x
  3. Step 3: Cross multiply
    152,283.75x = 210,246.90 × 97,857.96
  4. Step 4: Simplify right side
    152,283.75x = 20,574,332,730.32
  5. Step 5: Solve for x
    x = 20,574,332,730.32/152,283.75
  6. Step 6: Final answer
    x = 135,105.24

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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.