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Finding the Fourth Proportional to 153,816.46, 230,392.53 and 150,052.08

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Solution

The fourth proportional to 153,816.46, 230,392.53 and 150,052.08 is: 224,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,816.46 : 230,392.53 = 150,052.08 : x
  2. Step 2: Convert to fraction form
    153,816.46/230,392.53 = 150,052.08/x
  3. Step 3: Cross multiply
    153,816.46x = 230,392.53 × 150,052.08
  4. Step 4: Simplify right side
    153,816.46x = 34,570,878,460.92
  5. Step 5: Solve for x
    x = 34,570,878,460.92/153,816.46
  6. Step 6: Final answer
    x = 224,754.10

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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.