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Finding the Fourth Proportional to 233,281.37, 349,977.59 and 75,509.81

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Solution

The fourth proportional to 233,281.37, 349,977.59 and 75,509.81 is: 113,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281.37 : 349,977.59 = 75,509.81 : x
  2. Step 2: Convert to fraction form
    233,281.37/349,977.59 = 75,509.81/x
  3. Step 3: Cross multiply
    233,281.37x = 349,977.59 × 75,509.81
  4. Step 4: Simplify right side
    233,281.37x = 26,426,741,325.16
  5. Step 5: Solve for x
    x = 26,426,741,325.16/233,281.37
  6. Step 6: Final answer
    x = 113,282.69

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Why These Related Problems?

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