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Finding the Fourth Proportional to 219,569.31, 303,005.70 and 118,967.31

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Solution

The fourth proportional to 219,569.31, 303,005.70 and 118,967.31 is: 164,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,569.31 : 303,005.70 = 118,967.31 : x
  2. Step 2: Convert to fraction form
    219,569.31/303,005.70 = 118,967.31/x
  3. Step 3: Cross multiply
    219,569.31x = 303,005.70 × 118,967.31
  4. Step 4: Simplify right side
    219,569.31x = 36,047,773,043.67
  5. Step 5: Solve for x
    x = 36,047,773,043.67/219,569.31
  6. Step 6: Final answer
    x = 164,174.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.