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Finding the Fourth Proportional to 308,654.66, 463,000.07 and 119,116.02

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Solution

The fourth proportional to 308,654.66, 463,000.07 and 119,116.02 is: 178,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,654.66 : 463,000.07 = 119,116.02 : x
  2. Step 2: Convert to fraction form
    308,654.66/463,000.07 = 119,116.02/x
  3. Step 3: Cross multiply
    308,654.66x = 463,000.07 × 119,116.02
  4. Step 4: Simplify right side
    308,654.66x = 55,150,725,598.12
  5. Step 5: Solve for x
    x = 55,150,725,598.12/308,654.66
  6. Step 6: Final answer
    x = 178,681.01

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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.