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Finding the Fourth Proportional to 307,068.06, 460,602.10 and 119,948.34

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Solution

The fourth proportional to 307,068.06, 460,602.10 and 119,948.34 is: 179,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,068.06 : 460,602.10 = 119,948.34 : x
  2. Step 2: Convert to fraction form
    307,068.06/460,602.10 = 119,948.34/x
  3. Step 3: Cross multiply
    307,068.06x = 460,602.10 × 119,948.34
  4. Step 4: Simplify right side
    307,068.06x = 55,248,458,498.00
  5. Step 5: Solve for x
    x = 55,248,458,498.00/307,068.06
  6. Step 6: Final answer
    x = 179,922.52

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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.