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Finding the Fourth Proportional to 105,655.89, 158,502.29 and 46,490.03

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Solution

The fourth proportional to 105,655.89, 158,502.29 and 46,490.03 is: 69,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655.89 : 158,502.29 = 46,490.03 : x
  2. Step 2: Convert to fraction form
    105,655.89/158,502.29 = 46,490.03/x
  3. Step 3: Cross multiply
    105,655.89x = 158,502.29 × 46,490.03
  4. Step 4: Simplify right side
    105,655.89x = 7,368,775,192.21
  5. Step 5: Solve for x
    x = 7,368,775,192.21/105,655.89
  6. Step 6: Final answer
    x = 69,743.16

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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.