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Finding the Fourth Proportional to 255,052.60, 382,406.10 and 135,129.40

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Solution

The fourth proportional to 255,052.60, 382,406.10 and 135,129.40 is: 202,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,052.60 : 382,406.10 = 135,129.40 : x
  2. Step 2: Convert to fraction form
    255,052.60/382,406.10 = 135,129.40/x
  3. Step 3: Cross multiply
    255,052.60x = 382,406.10 × 135,129.40
  4. Step 4: Simplify right side
    255,052.60x = 51,674,306,849.34
  5. Step 5: Solve for x
    x = 51,674,306,849.34/255,052.60
  6. Step 6: Final answer
    x = 202,602.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.