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Finding the Fourth Proportional to 342,527.14, 513,602.07 and 105,804.10

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Solution

The fourth proportional to 342,527.14, 513,602.07 and 105,804.10 is: 158,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,527.14 : 513,602.07 = 105,804.10 : x
  2. Step 2: Convert to fraction form
    342,527.14/513,602.07 = 105,804.10/x
  3. Step 3: Cross multiply
    342,527.14x = 513,602.07 × 105,804.10
  4. Step 4: Simplify right side
    342,527.14x = 54,341,204,774.49
  5. Step 5: Solve for x
    x = 54,341,204,774.49/342,527.14
  6. Step 6: Final answer
    x = 158,647.88

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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.