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Finding the Fourth Proportional to 230,203.62, 317,681.57 and 133,426.14

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Solution

The fourth proportional to 230,203.62, 317,681.57 and 133,426.14 is: 184,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,203.62 : 317,681.57 = 133,426.14 : x
  2. Step 2: Convert to fraction form
    230,203.62/317,681.57 = 133,426.14/x
  3. Step 3: Cross multiply
    230,203.62x = 317,681.57 × 133,426.14
  4. Step 4: Simplify right side
    230,203.62x = 42,387,024,401.24
  5. Step 5: Solve for x
    x = 42,387,024,401.24/230,203.62
  6. Step 6: Final answer
    x = 184,128.40

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