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Finding the Fourth Proportional to 189,698.54, 284,037.93 and 144,504.62

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Solution

The fourth proportional to 189,698.54, 284,037.93 and 144,504.62 is: 216,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,698.54 : 284,037.93 = 144,504.62 : x
  2. Step 2: Convert to fraction form
    189,698.54/284,037.93 = 144,504.62/x
  3. Step 3: Cross multiply
    189,698.54x = 284,037.93 × 144,504.62
  4. Step 4: Simplify right side
    189,698.54x = 41,044,792,417.71
  5. Step 5: Solve for x
    x = 41,044,792,417.71/189,698.54
  6. Step 6: Final answer
    x = 216,368.53

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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.