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Finding the Fourth Proportional to 105,302.40, 157,646.40 and 94,243.20

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Solution

The fourth proportional to 105,302.40, 157,646.40 and 94,243.20 is: 141,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,302.40 : 157,646.40 = 94,243.20 : x
  2. Step 2: Convert to fraction form
    105,302.40/157,646.40 = 94,243.20/x
  3. Step 3: Cross multiply
    105,302.40x = 157,646.40 × 94,243.20
  4. Step 4: Simplify right side
    105,302.40x = 14,857,101,204.48
  5. Step 5: Solve for x
    x = 14,857,101,204.48/105,302.40
  6. Step 6: Final answer
    x = 141,089.86

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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.