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Finding the Fourth Proportional to 262,948.64, 362,868.93 and 142,089.87

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Solution

The fourth proportional to 262,948.64, 362,868.93 and 142,089.87 is: 196,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,948.64 : 362,868.93 = 142,089.87 : x
  2. Step 2: Convert to fraction form
    262,948.64/362,868.93 = 142,089.87/x
  3. Step 3: Cross multiply
    262,948.64x = 362,868.93 × 142,089.87
  4. Step 4: Simplify right side
    262,948.64x = 51,559,999,090.74
  5. Step 5: Solve for x
    x = 51,559,999,090.74/262,948.64
  6. Step 6: Final answer
    x = 196,083.92

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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.