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Finding the Fourth Proportional to 214,907.16, 296,569.02 and 119,411.64

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Solution

The fourth proportional to 214,907.16, 296,569.02 and 119,411.64 is: 164,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907.16 : 296,569.02 = 119,411.64 : x
  2. Step 2: Convert to fraction form
    214,907.16/296,569.02 = 119,411.64/x
  3. Step 3: Cross multiply
    214,907.16x = 296,569.02 × 119,411.64
  4. Step 4: Simplify right side
    214,907.16x = 35,413,793,051.39
  5. Step 5: Solve for x
    x = 35,413,793,051.39/214,907.16
  6. Step 6: Final answer
    x = 164,786.47

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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.