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Finding the Fourth Proportional to 342,851.58, 514,178.04 and 102,955.80

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Solution

The fourth proportional to 342,851.58, 514,178.04 and 102,955.80 is: 154,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,851.58 : 514,178.04 = 102,955.80 : x
  2. Step 2: Convert to fraction form
    342,851.58/514,178.04 = 102,955.80/x
  3. Step 3: Cross multiply
    342,851.58x = 514,178.04 × 102,955.80
  4. Step 4: Simplify right side
    342,851.58x = 52,937,611,450.63
  5. Step 5: Solve for x
    x = 52,937,611,450.63/342,851.58
  6. Step 6: Final answer
    x = 154,403.87

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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.