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Finding the Fourth Proportional to 106,133.34, 146,460.93 and 58,386.66

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Solution

The fourth proportional to 106,133.34, 146,460.93 and 58,386.66 is: 80,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,133.34 : 146,460.93 = 58,386.66 : x
  2. Step 2: Convert to fraction form
    106,133.34/146,460.93 = 58,386.66/x
  3. Step 3: Cross multiply
    106,133.34x = 146,460.93 × 58,386.66
  4. Step 4: Simplify right side
    106,133.34x = 8,551,364,523.19
  5. Step 5: Solve for x
    x = 8,551,364,523.19/106,133.34
  6. Step 6: Final answer
    x = 80,571.90

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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.