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Finding the Fourth Proportional to 107,407, 148,224.02 and 59,009.56

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Solution

The fourth proportional to 107,407, 148,224.02 and 59,009.56 is: 81,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407 : 148,224.02 = 59,009.56 : x
  2. Step 2: Convert to fraction form
    107,407/148,224.02 = 59,009.56/x
  3. Step 3: Cross multiply
    107,407x = 148,224.02 × 59,009.56
  4. Step 4: Simplify right side
    107,407x = 8,746,634,201.63
  5. Step 5: Solve for x
    x = 8,746,634,201.63/107,407
  6. Step 6: Final answer
    x = 81,434.49

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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.