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Finding the Fourth Proportional to 189,510.36, 283,954.48 and 64,783.32

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Solution

The fourth proportional to 189,510.36, 283,954.48 and 64,783.32 is: 97,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,510.36 : 283,954.48 = 64,783.32 : x
  2. Step 2: Convert to fraction form
    189,510.36/283,954.48 = 64,783.32/x
  3. Step 3: Cross multiply
    189,510.36x = 283,954.48 × 64,783.32
  4. Step 4: Simplify right side
    189,510.36x = 18,395,513,943.27
  5. Step 5: Solve for x
    x = 18,395,513,943.27/189,510.36
  6. Step 6: Final answer
    x = 97,068.65

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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.