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Finding the Fourth Proportional to 342,002.49, 513,058.86 and 105,345.06

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Solution

The fourth proportional to 342,002.49, 513,058.86 and 105,345.06 is: 158,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.49 : 513,058.86 = 105,345.06 : x
  2. Step 2: Convert to fraction form
    342,002.49/513,058.86 = 105,345.06/x
  3. Step 3: Cross multiply
    342,002.49x = 513,058.86 × 105,345.06
  4. Step 4: Simplify right side
    342,002.49x = 54,048,216,390.23
  5. Step 5: Solve for x
    x = 54,048,216,390.23/342,002.49
  6. Step 6: Final answer
    x = 158,034.57

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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.