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Finding the Fourth Proportional to 314,188.08, 471,325.86 and 100,962.36

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Solution

The fourth proportional to 314,188.08, 471,325.86 and 100,962.36 is: 151,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,188.08 : 471,325.86 = 100,962.36 : x
  2. Step 2: Convert to fraction form
    314,188.08/471,325.86 = 100,962.36/x
  3. Step 3: Cross multiply
    314,188.08x = 471,325.86 × 100,962.36
  4. Step 4: Simplify right side
    314,188.08x = 47,586,171,154.63
  5. Step 5: Solve for x
    x = 47,586,171,154.63/314,188.08
  6. Step 6: Final answer
    x = 151,457.60

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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.