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Finding the Fourth Proportional to 102,130.79, 140,938.46 and 56,807.81

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Solution

The fourth proportional to 102,130.79, 140,938.46 and 56,807.81 is: 78,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.79 : 140,938.46 = 56,807.81 : x
  2. Step 2: Convert to fraction form
    102,130.79/140,938.46 = 56,807.81/x
  3. Step 3: Cross multiply
    102,130.79x = 140,938.46 × 56,807.81
  4. Step 4: Simplify right side
    102,130.79x = 8,006,404,552.68
  5. Step 5: Solve for x
    x = 8,006,404,552.68/102,130.79
  6. Step 6: Final answer
    x = 78,393.64

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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.