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Finding the Fourth Proportional to 288,211.51, 432,318.54 and 119,731.70

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Solution

The fourth proportional to 288,211.51, 432,318.54 and 119,731.70 is: 179,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,211.51 : 432,318.54 = 119,731.70 : x
  2. Step 2: Convert to fraction form
    288,211.51/432,318.54 = 119,731.70/x
  3. Step 3: Cross multiply
    288,211.51x = 432,318.54 × 119,731.70
  4. Step 4: Simplify right side
    288,211.51x = 51,762,233,137.06
  5. Step 5: Solve for x
    x = 51,762,233,137.06/288,211.51
  6. Step 6: Final answer
    x = 179,598.08

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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.