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Finding the Fourth Proportional to 288,159.93, 432,295.92 and 110,653.89

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Solution

The fourth proportional to 288,159.93, 432,295.92 and 110,653.89 is: 166,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,159.93 : 432,295.92 = 110,653.89 : x
  2. Step 2: Convert to fraction form
    288,159.93/432,295.92 = 110,653.89/x
  3. Step 3: Cross multiply
    288,159.93x = 432,295.92 × 110,653.89
  4. Step 4: Simplify right side
    288,159.93x = 47,835,225,179.13
  5. Step 5: Solve for x
    x = 47,835,225,179.13/288,159.93
  6. Step 6: Final answer
    x = 166,002.35

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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.