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Finding the Fourth Proportional to 261,573.34, 360,946.27 and 146,825.70

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Solution

The fourth proportional to 261,573.34, 360,946.27 and 146,825.70 is: 202,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,573.34 : 360,946.27 = 146,825.70 : x
  2. Step 2: Convert to fraction form
    261,573.34/360,946.27 = 146,825.70/x
  3. Step 3: Cross multiply
    261,573.34x = 360,946.27 × 146,825.70
  4. Step 4: Simplify right side
    261,573.34x = 52,996,188,021.01
  5. Step 5: Solve for x
    x = 52,996,188,021.01/261,573.34
  6. Step 6: Final answer
    x = 202,605.47

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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.