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Finding the Fourth Proportional to 235,741.40, 353,612.10 and 189,085.40

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Solution

The fourth proportional to 235,741.40, 353,612.10 and 189,085.40 is: 283,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,741.40 : 353,612.10 = 189,085.40 : x
  2. Step 2: Convert to fraction form
    235,741.40/353,612.10 = 189,085.40/x
  3. Step 3: Cross multiply
    235,741.40x = 353,612.10 × 189,085.40
  4. Step 4: Simplify right side
    235,741.40x = 66,862,885,373.34
  5. Step 5: Solve for x
    x = 66,862,885,373.34/235,741.40
  6. Step 6: Final answer
    x = 283,628.10

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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.