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Finding the Fourth Proportional to 152,803.80, 229,464.20 and 99,586.20

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Solution

The fourth proportional to 152,803.80, 229,464.20 and 99,586.20 is: 149,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,803.80 : 229,464.20 = 99,586.20 : x
  2. Step 2: Convert to fraction form
    152,803.80/229,464.20 = 99,586.20/x
  3. Step 3: Cross multiply
    152,803.80x = 229,464.20 × 99,586.20
  4. Step 4: Simplify right side
    152,803.80x = 22,851,467,714.04
  5. Step 5: Solve for x
    x = 22,851,467,714.04/152,803.80
  6. Step 6: Final answer
    x = 149,547.77

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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.