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Finding the Fourth Proportional to 164,564.16, 226,886.40 and 134,318.40

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Solution

The fourth proportional to 164,564.16, 226,886.40 and 134,318.40 is: 185,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,564.16 : 226,886.40 = 134,318.40 : x
  2. Step 2: Convert to fraction form
    164,564.16/226,886.40 = 134,318.40/x
  3. Step 3: Cross multiply
    164,564.16x = 226,886.40 × 134,318.40
  4. Step 4: Simplify right side
    164,564.16x = 30,475,018,229.76
  5. Step 5: Solve for x
    x = 30,475,018,229.76/164,564.16
  6. Step 6: Final answer
    x = 185,186.24

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