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Finding the Fourth Proportional to 342,857.36, 514,319.88 and 118,188.22

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Solution

The fourth proportional to 342,857.36, 514,319.88 and 118,188.22 is: 177,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,857.36 : 514,319.88 = 118,188.22 : x
  2. Step 2: Convert to fraction form
    342,857.36/514,319.88 = 118,188.22/x
  3. Step 3: Cross multiply
    342,857.36x = 514,319.88 × 118,188.22
  4. Step 4: Simplify right side
    342,857.36x = 60,786,551,127.81
  5. Step 5: Solve for x
    x = 60,786,551,127.81/342,857.36
  6. Step 6: Final answer
    x = 177,294.00

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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.