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Finding the Fourth Proportional to 282,757.50, 390,206.16 and 161,900.64

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Solution

The fourth proportional to 282,757.50, 390,206.16 and 161,900.64 is: 223,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,757.50 : 390,206.16 = 161,900.64 : x
  2. Step 2: Convert to fraction form
    282,757.50/390,206.16 = 161,900.64/x
  3. Step 3: Cross multiply
    282,757.50x = 390,206.16 × 161,900.64
  4. Step 4: Simplify right side
    282,757.50x = 63,174,627,035.94
  5. Step 5: Solve for x
    x = 63,174,627,035.94/282,757.50
  6. Step 6: Final answer
    x = 223,423.35

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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.