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Finding the Fourth Proportional to 266,425.32, 367,662.59 and 145,564.00

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Solution

The fourth proportional to 266,425.32, 367,662.59 and 145,564.00 is: 200,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,425.32 : 367,662.59 = 145,564.00 : x
  2. Step 2: Convert to fraction form
    266,425.32/367,662.59 = 145,564.00/x
  3. Step 3: Cross multiply
    266,425.32x = 367,662.59 × 145,564.00
  4. Step 4: Simplify right side
    266,425.32x = 53,518,439,036.55
  5. Step 5: Solve for x
    x = 53,518,439,036.55/266,425.32
  6. Step 6: Final answer
    x = 200,875.95

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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.