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Finding the Fourth Proportional to 343,180.77, 514,748.55 and 118,544.41

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Solution

The fourth proportional to 343,180.77, 514,748.55 and 118,544.41 is: 177,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,180.77 : 514,748.55 = 118,544.41 : x
  2. Step 2: Convert to fraction form
    343,180.77/514,748.55 = 118,544.41/x
  3. Step 3: Cross multiply
    343,180.77x = 514,748.55 × 118,544.41
  4. Step 4: Simplify right side
    343,180.77x = 61,020,562,565.38
  5. Step 5: Solve for x
    x = 61,020,562,565.38/343,180.77
  6. Step 6: Final answer
    x = 177,808.81

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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.