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Finding the Fourth Proportional to 233,248.79, 349,450.78 and 106,994.65

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Solution

The fourth proportional to 233,248.79, 349,450.78 and 106,994.65 is: 160,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,248.79 : 349,450.78 = 106,994.65 : x
  2. Step 2: Convert to fraction form
    233,248.79/349,450.78 = 106,994.65/x
  3. Step 3: Cross multiply
    233,248.79x = 349,450.78 × 106,994.65
  4. Step 4: Simplify right side
    233,248.79x = 37,389,362,931.14
  5. Step 5: Solve for x
    x = 37,389,362,931.14/233,248.79
  6. Step 6: Final answer
    x = 160,298.21

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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.