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Finding the Fourth Proportional to 233,709.50, 322,509.75 and 131,756.12

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Solution

The fourth proportional to 233,709.50, 322,509.75 and 131,756.12 is: 181,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,709.50 : 322,509.75 = 131,756.12 : x
  2. Step 2: Convert to fraction form
    233,709.50/322,509.75 = 131,756.12/x
  3. Step 3: Cross multiply
    233,709.50x = 322,509.75 × 131,756.12
  4. Step 4: Simplify right side
    233,709.50x = 42,492,633,166.08
  5. Step 5: Solve for x
    x = 42,492,633,166.08/233,709.50
  6. Step 6: Final answer
    x = 181,818.17

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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.