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Finding the Fourth Proportional to 266,967.81, 368,410.61 and 146,106.65

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Solution

The fourth proportional to 266,967.81, 368,410.61 and 146,106.65 is: 201,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,967.81 : 368,410.61 = 146,106.65 : x
  2. Step 2: Convert to fraction form
    266,967.81/368,410.61 = 146,106.65/x
  3. Step 3: Cross multiply
    266,967.81x = 368,410.61 × 146,106.65
  4. Step 4: Simplify right side
    266,967.81x = 53,827,237,478.97
  5. Step 5: Solve for x
    x = 53,827,237,478.97/266,967.81
  6. Step 6: Final answer
    x = 201,624.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.