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Finding the Fourth Proportional to 288,746.51, 432,953.51 and 111,230.42

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Solution

The fourth proportional to 288,746.51, 432,953.51 and 111,230.42 is: 166,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,746.51 : 432,953.51 = 111,230.42 : x
  2. Step 2: Convert to fraction form
    288,746.51/432,953.51 = 111,230.42/x
  3. Step 3: Cross multiply
    288,746.51x = 432,953.51 × 111,230.42
  4. Step 4: Simplify right side
    288,746.51x = 48,157,598,036.85
  5. Step 5: Solve for x
    x = 48,157,598,036.85/288,746.51
  6. Step 6: Final answer
    x = 166,781.58

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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.