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Finding the Fourth Proportional to 214,417.16, 295,931.11 and 118,954.61

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Solution

The fourth proportional to 214,417.16, 295,931.11 and 118,954.61 is: 164,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,417.16 : 295,931.11 = 118,954.61 : x
  2. Step 2: Convert to fraction form
    214,417.16/295,931.11 = 118,954.61/x
  3. Step 3: Cross multiply
    214,417.16x = 295,931.11 × 118,954.61
  4. Step 4: Simplify right side
    214,417.16x = 35,202,371,166.60
  5. Step 5: Solve for x
    x = 35,202,371,166.60/214,417.16
  6. Step 6: Final answer
    x = 164,177.02

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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.