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Finding the Fourth Proportional to 189,954.57, 285,030.27 and 96,460.32

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Solution

The fourth proportional to 189,954.57, 285,030.27 and 96,460.32 is: 144,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,954.57 : 285,030.27 = 96,460.32 : x
  2. Step 2: Convert to fraction form
    189,954.57/285,030.27 = 96,460.32/x
  3. Step 3: Cross multiply
    189,954.57x = 285,030.27 × 96,460.32
  4. Step 4: Simplify right side
    189,954.57x = 27,494,111,053.89
  5. Step 5: Solve for x
    x = 27,494,111,053.89/189,954.57
  6. Step 6: Final answer
    x = 144,740.46

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1.5x scale

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.