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Finding the Fourth Proportional to 189,541.02, 284,409.93 and 77,303.58

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Solution

The fourth proportional to 189,541.02, 284,409.93 and 77,303.58 is: 115,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,541.02 : 284,409.93 = 77,303.58 : x
  2. Step 2: Convert to fraction form
    189,541.02/284,409.93 = 77,303.58/x
  3. Step 3: Cross multiply
    189,541.02x = 284,409.93 × 77,303.58
  4. Step 4: Simplify right side
    189,541.02x = 21,985,905,776.55
  5. Step 5: Solve for x
    x = 21,985,905,776.55/189,541.02
  6. Step 6: Final answer
    x = 115,995.50

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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.