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Finding the Fourth Proportional to 177,369.80, 266,054.70 and 164,539.40

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Solution

The fourth proportional to 177,369.80, 266,054.70 and 164,539.40 is: 246,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,369.80 : 266,054.70 = 164,539.40 : x
  2. Step 2: Convert to fraction form
    177,369.80/266,054.70 = 164,539.40/x
  3. Step 3: Cross multiply
    177,369.80x = 266,054.70 × 164,539.40
  4. Step 4: Simplify right side
    177,369.80x = 43,776,480,705.18
  5. Step 5: Solve for x
    x = 43,776,480,705.18/177,369.80
  6. Step 6: Final answer
    x = 246,809.10

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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.