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Finding the Fourth Proportional to 106,054.57, 146,356.29 and 58,308.25

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Solution

The fourth proportional to 106,054.57, 146,356.29 and 58,308.25 is: 80,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,054.57 : 146,356.29 = 58,308.25 : x
  2. Step 2: Convert to fraction form
    106,054.57/146,356.29 = 58,308.25/x
  3. Step 3: Cross multiply
    106,054.57x = 146,356.29 × 58,308.25
  4. Step 4: Simplify right side
    106,054.57x = 8,533,779,146.39
  5. Step 5: Solve for x
    x = 8,533,779,146.39/106,054.57
  6. Step 6: Final answer
    x = 80,465.93

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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.