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Finding the Fourth Proportional to 375,643.31, 563,471.13 and 105,777.93

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Solution

The fourth proportional to 375,643.31, 563,471.13 and 105,777.93 is: 158,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,643.31 : 563,471.13 = 105,777.93 : x
  2. Step 2: Convert to fraction form
    375,643.31/563,471.13 = 105,777.93/x
  3. Step 3: Cross multiply
    375,643.31x = 563,471.13 × 105,777.93
  4. Step 4: Simplify right side
    375,643.31x = 59,602,809,746.16
  5. Step 5: Solve for x
    x = 59,602,809,746.16/375,643.31
  6. Step 6: Final answer
    x = 158,668.63

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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.