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Finding the Fourth Proportional to 158,702.54, 238,069.16 and 46,380.21

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Solution

The fourth proportional to 158,702.54, 238,069.16 and 46,380.21 is: 69,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,702.54 : 238,069.16 = 46,380.21 : x
  2. Step 2: Convert to fraction form
    158,702.54/238,069.16 = 46,380.21/x
  3. Step 3: Cross multiply
    158,702.54x = 238,069.16 × 46,380.21
  4. Step 4: Simplify right side
    158,702.54x = 11,041,697,403.42
  5. Step 5: Solve for x
    x = 11,041,697,403.42/158,702.54
  6. Step 6: Final answer
    x = 69,574.80

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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.