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Finding the Fourth Proportional to 314,107.06, 471,116.13 and 100,893.51

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Solution

The fourth proportional to 314,107.06, 471,116.13 and 100,893.51 is: 151,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,107.06 : 471,116.13 = 100,893.51 : x
  2. Step 2: Convert to fraction form
    314,107.06/471,116.13 = 100,893.51/x
  3. Step 3: Cross multiply
    314,107.06x = 471,116.13 × 100,893.51
  4. Step 4: Simplify right side
    314,107.06x = 47,532,559,973.32
  5. Step 5: Solve for x
    x = 47,532,559,973.32/314,107.06
  6. Step 6: Final answer
    x = 151,325.98

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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.