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Finding the Fourth Proportional to 233,171.30, 349,607.06 and 153,114.68

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Solution

The fourth proportional to 233,171.30, 349,607.06 and 153,114.68 is: 229,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,171.30 : 349,607.06 = 153,114.68 : x
  2. Step 2: Convert to fraction form
    233,171.30/349,607.06 = 153,114.68/x
  3. Step 3: Cross multiply
    233,171.30x = 349,607.06 × 153,114.68
  4. Step 4: Simplify right side
    233,171.30x = 53,529,973,117.64
  5. Step 5: Solve for x
    x = 53,529,973,117.64/233,171.30
  6. Step 6: Final answer
    x = 229,573.59

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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.