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Finding the Fourth Proportional to 175,782.78, 242,595.15 and 99,315.93

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Solution

The fourth proportional to 175,782.78, 242,595.15 and 99,315.93 is: 137,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,782.78 : 242,595.15 = 99,315.93 : x
  2. Step 2: Convert to fraction form
    175,782.78/242,595.15 = 99,315.93/x
  3. Step 3: Cross multiply
    175,782.78x = 242,595.15 × 99,315.93
  4. Step 4: Simplify right side
    175,782.78x = 24,093,562,935.74
  5. Step 5: Solve for x
    x = 24,093,562,935.74/175,782.78
  6. Step 6: Final answer
    x = 137,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.