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Finding the Fourth Proportional to 161,569.80, 242,208.90 and 105,436.80

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Solution

The fourth proportional to 161,569.80, 242,208.90 and 105,436.80 is: 158,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,569.80 : 242,208.90 = 105,436.80 : x
  2. Step 2: Convert to fraction form
    161,569.80/242,208.90 = 105,436.80/x
  3. Step 3: Cross multiply
    161,569.80x = 242,208.90 × 105,436.80
  4. Step 4: Simplify right side
    161,569.80x = 25,537,731,347.52
  5. Step 5: Solve for x
    x = 25,537,731,347.52/161,569.80
  6. Step 6: Final answer
    x = 158,060.05

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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.