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Finding the Fourth Proportional to 186,285.42, 257,074.02 and 101,402.64

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Solution

The fourth proportional to 186,285.42, 257,074.02 and 101,402.64 is: 139,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,285.42 : 257,074.02 = 101,402.64 : x
  2. Step 2: Convert to fraction form
    186,285.42/257,074.02 = 101,402.64/x
  3. Step 3: Cross multiply
    186,285.42x = 257,074.02 × 101,402.64
  4. Step 4: Simplify right side
    186,285.42x = 26,067,984,303.41
  5. Step 5: Solve for x
    x = 26,067,984,303.41/186,285.42
  6. Step 6: Final answer
    x = 139,935.72

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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.