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Finding the Fourth Proportional to 235,071.12, 352,618 and 77,296.08

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Solution

The fourth proportional to 235,071.12, 352,618 and 77,296.08 is: 115,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,071.12 : 352,618 = 77,296.08 : x
  2. Step 2: Convert to fraction form
    235,071.12/352,618 = 77,296.08/x
  3. Step 3: Cross multiply
    235,071.12x = 352,618 × 77,296.08
  4. Step 4: Simplify right side
    235,071.12x = 27,255,989,137.44
  5. Step 5: Solve for x
    x = 27,255,989,137.44/235,071.12
  6. Step 6: Final answer
    x = 115,947.84

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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.