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Finding the Fourth Proportional to 146,875.34, 202,706.34 and 83,233.64

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Solution

The fourth proportional to 146,875.34, 202,706.34 and 83,233.64 is: 114,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,875.34 : 202,706.34 = 83,233.64 : x
  2. Step 2: Convert to fraction form
    146,875.34/202,706.34 = 83,233.64/x
  3. Step 3: Cross multiply
    146,875.34x = 202,706.34 × 83,233.64
  4. Step 4: Simplify right side
    146,875.34x = 16,871,986,529.28
  5. Step 5: Solve for x
    x = 16,871,986,529.28/146,875.34
  6. Step 6: Final answer
    x = 114,872.83

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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.