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Finding the Fourth Proportional to 256,051.60, 384,077.40 and 145,459.60

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Solution

The fourth proportional to 256,051.60, 384,077.40 and 145,459.60 is: 218,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,051.60 : 384,077.40 = 145,459.60 : x
  2. Step 2: Convert to fraction form
    256,051.60/384,077.40 = 145,459.60/x
  3. Step 3: Cross multiply
    256,051.60x = 384,077.40 × 145,459.60
  4. Step 4: Simplify right side
    256,051.60x = 55,867,744,973.04
  5. Step 5: Solve for x
    x = 55,867,744,973.04/256,051.60
  6. Step 6: Final answer
    x = 218,189.40

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1.5x scale

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.