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Finding the Fourth Proportional to 261,000.32, 360,205.70 and 146,298.42

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Solution

The fourth proportional to 261,000.32, 360,205.70 and 146,298.42 is: 201,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,000.32 : 360,205.70 = 146,298.42 : x
  2. Step 2: Convert to fraction form
    261,000.32/360,205.70 = 146,298.42/x
  3. Step 3: Cross multiply
    261,000.32x = 360,205.70 × 146,298.42
  4. Step 4: Simplify right side
    261,000.32x = 52,697,524,053.50
  5. Step 5: Solve for x
    x = 52,697,524,053.50/261,000.32
  6. Step 6: Final answer
    x = 201,905.98

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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.