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Finding the Fourth Proportional to 152,159.80, 228,045.30 and 116,924.80

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Solution

The fourth proportional to 152,159.80, 228,045.30 and 116,924.80 is: 175,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,159.80 : 228,045.30 = 116,924.80 : x
  2. Step 2: Convert to fraction form
    152,159.80/228,045.30 = 116,924.80/x
  3. Step 3: Cross multiply
    152,159.80x = 228,045.30 × 116,924.80
  4. Step 4: Simplify right side
    152,159.80x = 26,664,151,093.44
  5. Step 5: Solve for x
    x = 26,664,151,093.44/152,159.80
  6. Step 6: Final answer
    x = 175,237.82

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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.