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Finding the Fourth Proportional to 162,952.40, 212,071.40 and 162,952.40

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Solution

The fourth proportional to 162,952.40, 212,071.40 and 162,952.40 is: 212,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,952.40 : 212,071.40 = 162,952.40 : x
  2. Step 2: Convert to fraction form
    162,952.40/212,071.40 = 162,952.40/x
  3. Step 3: Cross multiply
    162,952.40x = 212,071.40 × 162,952.40
  4. Step 4: Simplify right side
    162,952.40x = 34,557,543,601.36
  5. Step 5: Solve for x
    x = 34,557,543,601.36/162,952.40
  6. Step 6: Final answer
    x = 212,071.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.