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Finding the Fourth Proportional to 216,030.22, 324,210.72 and 97,784.60

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Solution

The fourth proportional to 216,030.22, 324,210.72 and 97,784.60 is: 146,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,030.22 : 324,210.72 = 97,784.60 : x
  2. Step 2: Convert to fraction form
    216,030.22/324,210.72 = 97,784.60/x
  3. Step 3: Cross multiply
    216,030.22x = 324,210.72 × 97,784.60
  4. Step 4: Simplify right side
    216,030.22x = 31,702,813,949.86
  5. Step 5: Solve for x
    x = 31,702,813,949.86/216,030.22
  6. Step 6: Final answer
    x = 146,751.76

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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.