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Finding the Fourth Proportional to 106,337.51, 159,799.23 and 56,454.98

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Solution

The fourth proportional to 106,337.51, 159,799.23 and 56,454.98 is: 84,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,337.51 : 159,799.23 = 56,454.98 : x
  2. Step 2: Convert to fraction form
    106,337.51/159,799.23 = 56,454.98/x
  3. Step 3: Cross multiply
    106,337.51x = 159,799.23 × 56,454.98
  4. Step 4: Simplify right side
    106,337.51x = 9,021,462,333.67
  5. Step 5: Solve for x
    x = 9,021,462,333.67/106,337.51
  6. Step 6: Final answer
    x = 84,838.01

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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.