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Finding the Fourth Proportional to 152,783.82, 229,088.25 and 143,977.50

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Solution

The fourth proportional to 152,783.82, 229,088.25 and 143,977.50 is: 215,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,783.82 : 229,088.25 = 143,977.50 : x
  2. Step 2: Convert to fraction form
    152,783.82/229,088.25 = 143,977.50/x
  3. Step 3: Cross multiply
    152,783.82x = 229,088.25 × 143,977.50
  4. Step 4: Simplify right side
    152,783.82x = 32,983,553,514.38
  5. Step 5: Solve for x
    x = 32,983,553,514.38/152,783.82
  6. Step 6: Final answer
    x = 215,883.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.