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Finding the Fourth Proportional to 145,896.88, 218,763.24 and 46,038.46

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Solution

The fourth proportional to 145,896.88, 218,763.24 and 46,038.46 is: 69,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.88 : 218,763.24 = 46,038.46 : x
  2. Step 2: Convert to fraction form
    145,896.88/218,763.24 = 46,038.46/x
  3. Step 3: Cross multiply
    145,896.88x = 218,763.24 × 46,038.46
  4. Step 4: Simplify right side
    145,896.88x = 10,071,522,444.02
  5. Step 5: Solve for x
    x = 10,071,522,444.02/145,896.88
  6. Step 6: Final answer
    x = 69,031.79

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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.