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Finding the Fourth Proportional to 180,477.01, 270,622.05 and 96,214.54

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Solution

The fourth proportional to 180,477.01, 270,622.05 and 96,214.54 is: 144,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,477.01 : 270,622.05 = 96,214.54 : x
  2. Step 2: Convert to fraction form
    180,477.01/270,622.05 = 96,214.54/x
  3. Step 3: Cross multiply
    180,477.01x = 270,622.05 × 96,214.54
  4. Step 4: Simplify right side
    180,477.01x = 26,037,776,054.61
  5. Step 5: Solve for x
    x = 26,037,776,054.61/180,477.01
  6. Step 6: Final answer
    x = 144,271.98

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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.