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Finding the Fourth Proportional to 238,860.80, 358,276.80 and 105,702.08

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Solution

The fourth proportional to 238,860.80, 358,276.80 and 105,702.08 is: 158,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,860.80 : 358,276.80 = 105,702.08 : x
  2. Step 2: Convert to fraction form
    238,860.80/358,276.80 = 105,702.08/x
  3. Step 3: Cross multiply
    238,860.80x = 358,276.80 × 105,702.08
  4. Step 4: Simplify right side
    238,860.80x = 37,870,602,975.74
  5. Step 5: Solve for x
    x = 37,870,602,975.74/238,860.80
  6. Step 6: Final answer
    x = 158,546.75

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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.