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Finding the Fourth Proportional to 123,803.76, 185,731.32 and 56,303.64

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Solution

The fourth proportional to 123,803.76, 185,731.32 and 56,303.64 is: 84,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,803.76 : 185,731.32 = 56,303.64 : x
  2. Step 2: Convert to fraction form
    123,803.76/185,731.32 = 56,303.64/x
  3. Step 3: Cross multiply
    123,803.76x = 185,731.32 × 56,303.64
  4. Step 4: Simplify right side
    123,803.76x = 10,457,349,378.00
  5. Step 5: Solve for x
    x = 10,457,349,378.00/123,803.76
  6. Step 6: Final answer
    x = 84,467.14

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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.