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Finding the Fourth Proportional to 253,830.96, 350,374.50 and 146,443.74

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Solution

The fourth proportional to 253,830.96, 350,374.50 and 146,443.74 is: 202,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,830.96 : 350,374.50 = 146,443.74 : x
  2. Step 2: Convert to fraction form
    253,830.96/350,374.50 = 146,443.74/x
  3. Step 3: Cross multiply
    253,830.96x = 350,374.50 × 146,443.74
  4. Step 4: Simplify right side
    253,830.96x = 51,310,152,180.63
  5. Step 5: Solve for x
    x = 51,310,152,180.63/253,830.96
  6. Step 6: Final answer
    x = 202,143.00

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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.