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Finding the Fourth Proportional to 230,345.80, 317,783.57 and 152,857.99

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Solution

The fourth proportional to 230,345.80, 317,783.57 and 152,857.99 is: 210,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,345.80 : 317,783.57 = 152,857.99 : x
  2. Step 2: Convert to fraction form
    230,345.80/317,783.57 = 152,857.99/x
  3. Step 3: Cross multiply
    230,345.80x = 317,783.57 × 152,857.99
  4. Step 4: Simplify right side
    230,345.80x = 48,575,757,765.22
  5. Step 5: Solve for x
    x = 48,575,757,765.22/230,345.80
  6. Step 6: Final answer
    x = 210,881.89

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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.