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Finding the Fourth Proportional to 105,133.27, 145,062.25 and 60,412.63

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Solution

The fourth proportional to 105,133.27, 145,062.25 and 60,412.63 is: 83,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,133.27 : 145,062.25 = 60,412.63 : x
  2. Step 2: Convert to fraction form
    105,133.27/145,062.25 = 60,412.63/x
  3. Step 3: Cross multiply
    105,133.27x = 145,062.25 × 60,412.63
  4. Step 4: Simplify right side
    105,133.27x = 8,763,592,036.22
  5. Step 5: Solve for x
    x = 8,763,592,036.22/105,133.27
  6. Step 6: Final answer
    x = 83,356.98

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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.