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Finding the Fourth Proportional to 210,155.84, 314,819.04 and 157,624.64

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Solution

The fourth proportional to 210,155.84, 314,819.04 and 157,624.64 is: 236,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,155.84 : 314,819.04 = 157,624.64 : x
  2. Step 2: Convert to fraction form
    210,155.84/314,819.04 = 157,624.64/x
  3. Step 3: Cross multiply
    210,155.84x = 314,819.04 × 157,624.64
  4. Step 4: Simplify right side
    210,155.84x = 49,623,237,845.15
  5. Step 5: Solve for x
    x = 49,623,237,845.15/210,155.84
  6. Step 6: Final answer
    x = 236,125.90

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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.