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Finding the Fourth Proportional to 104,784.93, 144,606.47 and 57,041.46

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Solution

The fourth proportional to 104,784.93, 144,606.47 and 57,041.46 is: 78,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,784.93 : 144,606.47 = 57,041.46 : x
  2. Step 2: Convert to fraction form
    104,784.93/144,606.47 = 57,041.46/x
  3. Step 3: Cross multiply
    104,784.93x = 144,606.47 × 57,041.46
  4. Step 4: Simplify right side
    104,784.93x = 8,248,564,174.25
  5. Step 5: Solve for x
    x = 8,248,564,174.25/104,784.93
  6. Step 6: Final answer
    x = 78,718.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.