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Finding the Fourth Proportional to 294,712.65, 442,088.40 and 107,855.37

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Solution

The fourth proportional to 294,712.65, 442,088.40 and 107,855.37 is: 161,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,712.65 : 442,088.40 = 107,855.37 : x
  2. Step 2: Convert to fraction form
    294,712.65/442,088.40 = 107,855.37/x
  3. Step 3: Cross multiply
    294,712.65x = 442,088.40 × 107,855.37
  4. Step 4: Simplify right side
    294,712.65x = 47,681,607,954.71
  5. Step 5: Solve for x
    x = 47,681,607,954.71/294,712.65
  6. Step 6: Final answer
    x = 161,790.16

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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.