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Finding the Fourth Proportional to 162,904.51, 224,814.30 and 91,281.88

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Solution

The fourth proportional to 162,904.51, 224,814.30 and 91,281.88 is: 125,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904.51 : 224,814.30 = 91,281.88 : x
  2. Step 2: Convert to fraction form
    162,904.51/224,814.30 = 91,281.88/x
  3. Step 3: Cross multiply
    162,904.51x = 224,814.30 × 91,281.88
  4. Step 4: Simplify right side
    162,904.51x = 20,521,471,954.88
  5. Step 5: Solve for x
    x = 20,521,471,954.88/162,904.51
  6. Step 6: Final answer
    x = 125,972.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.