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Finding the Fourth Proportional to 192,854.51, 289,468.34 and 93,084.93

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Solution

The fourth proportional to 192,854.51, 289,468.34 and 93,084.93 is: 139,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,854.51 : 289,468.34 = 93,084.93 : x
  2. Step 2: Convert to fraction form
    192,854.51/289,468.34 = 93,084.93/x
  3. Step 3: Cross multiply
    192,854.51x = 289,468.34 × 93,084.93
  4. Step 4: Simplify right side
    192,854.51x = 26,945,139,700.69
  5. Step 5: Solve for x
    x = 26,945,139,700.69/192,854.51
  6. Step 6: Final answer
    x = 139,717.45

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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.