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Finding the Fourth Proportional to 161,907.60, 242,602.20 and 102,637.20

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Solution

The fourth proportional to 161,907.60, 242,602.20 and 102,637.20 is: 153,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,907.60 : 242,602.20 = 102,637.20 : x
  2. Step 2: Convert to fraction form
    161,907.60/242,602.20 = 102,637.20/x
  3. Step 3: Cross multiply
    161,907.60x = 242,602.20 × 102,637.20
  4. Step 4: Simplify right side
    161,907.60x = 24,900,010,521.84
  5. Step 5: Solve for x
    x = 24,900,010,521.84/161,907.60
  6. Step 6: Final answer
    x = 153,791.49

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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.