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Finding the Fourth Proportional to 105,090.30, 145,026.72 and 57,345.66

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Solution

The fourth proportional to 105,090.30, 145,026.72 and 57,345.66 is: 79,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.30 : 145,026.72 = 57,345.66 : x
  2. Step 2: Convert to fraction form
    105,090.30/145,026.72 = 57,345.66/x
  3. Step 3: Cross multiply
    105,090.30x = 145,026.72 × 57,345.66
  4. Step 4: Simplify right side
    105,090.30x = 8,316,652,976.04
  5. Step 5: Solve for x
    x = 8,316,652,976.04/105,090.30
  6. Step 6: Final answer
    x = 79,138.16

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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.