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Finding the Fourth Proportional to 342,124.49, 513,059.10 and 117,421.16

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Solution

The fourth proportional to 342,124.49, 513,059.10 and 117,421.16 is: 176,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,124.49 : 513,059.10 = 117,421.16 : x
  2. Step 2: Convert to fraction form
    342,124.49/513,059.10 = 117,421.16/x
  3. Step 3: Cross multiply
    342,124.49x = 513,059.10 × 117,421.16
  4. Step 4: Simplify right side
    342,124.49x = 60,243,994,670.56
  5. Step 5: Solve for x
    x = 60,243,994,670.56/342,124.49
  6. Step 6: Final answer
    x = 176,087.93

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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.