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Finding the Fourth Proportional to 235,460.32, 325,029.36 and 144,853

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Solution

The fourth proportional to 235,460.32, 325,029.36 and 144,853 is: 199,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,460.32 : 325,029.36 = 144,853 : x
  2. Step 2: Convert to fraction form
    235,460.32/325,029.36 = 144,853/x
  3. Step 3: Cross multiply
    235,460.32x = 325,029.36 × 144,853
  4. Step 4: Simplify right side
    235,460.32x = 47,081,477,884.08
  5. Step 5: Solve for x
    x = 47,081,477,884.08/235,460.32
  6. Step 6: Final answer
    x = 199,955.04

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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.