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Finding the Fourth Proportional to 159,319.53, 238,923.60 and 46,969.93

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Solution

The fourth proportional to 159,319.53, 238,923.60 and 46,969.93 is: 70,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,319.53 : 238,923.60 = 46,969.93 : x
  2. Step 2: Convert to fraction form
    159,319.53/238,923.60 = 46,969.93/x
  3. Step 3: Cross multiply
    159,319.53x = 238,923.60 × 46,969.93
  4. Step 4: Simplify right side
    159,319.53x = 11,222,223,678.02
  5. Step 5: Solve for x
    x = 11,222,223,678.02/159,319.53
  6. Step 6: Final answer
    x = 70,438.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.