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Finding the Fourth Proportional to 302,054.40, 453,081.60 and 105,062.40

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Solution

The fourth proportional to 302,054.40, 453,081.60 and 105,062.40 is: 157,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,054.40 : 453,081.60 = 105,062.40 : x
  2. Step 2: Convert to fraction form
    302,054.40/453,081.60 = 105,062.40/x
  3. Step 3: Cross multiply
    302,054.40x = 453,081.60 × 105,062.40
  4. Step 4: Simplify right side
    302,054.40x = 47,601,840,291.84
  5. Step 5: Solve for x
    x = 47,601,840,291.84/302,054.40
  6. Step 6: Final answer
    x = 157,593.60

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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.