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Finding the Fourth Proportional to 294,703.72, 442,259.74 and 117,192.52

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Solution

The fourth proportional to 294,703.72, 442,259.74 and 117,192.52 is: 175,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,703.72 : 442,259.74 = 117,192.52 : x
  2. Step 2: Convert to fraction form
    294,703.72/442,259.74 = 117,192.52/x
  3. Step 3: Cross multiply
    294,703.72x = 442,259.74 × 117,192.52
  4. Step 4: Simplify right side
    294,703.72x = 51,829,533,425.14
  5. Step 5: Solve for x
    x = 51,829,533,425.14/294,703.72
  6. Step 6: Final answer
    x = 175,869.97

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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.