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Finding the Fourth Proportional to 193,501.80, 290,252.70 and 51,346.80

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Solution

The fourth proportional to 193,501.80, 290,252.70 and 51,346.80 is: 77,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,501.80 : 290,252.70 = 51,346.80 : x
  2. Step 2: Convert to fraction form
    193,501.80/290,252.70 = 51,346.80/x
  3. Step 3: Cross multiply
    193,501.80x = 290,252.70 × 51,346.80
  4. Step 4: Simplify right side
    193,501.80x = 14,903,547,336.36
  5. Step 5: Solve for x
    x = 14,903,547,336.36/193,501.80
  6. Step 6: Final answer
    x = 77,020.20

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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.