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Finding the Fourth Proportional to 152,783.80, 229,120.78 and 52,917.12

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Solution

The fourth proportional to 152,783.80, 229,120.78 and 52,917.12 is: 79,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,783.80 : 229,120.78 = 52,917.12 : x
  2. Step 2: Convert to fraction form
    152,783.80/229,120.78 = 52,917.12/x
  3. Step 3: Cross multiply
    152,783.80x = 229,120.78 × 52,917.12
  4. Step 4: Simplify right side
    152,783.80x = 12,124,411,809.75
  5. Step 5: Solve for x
    x = 12,124,411,809.75/152,783.80
  6. Step 6: Final answer
    x = 79,356.66

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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.