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Finding the Fourth Proportional to 161,477.60, 242,216.40 and 102,574.40

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Solution

The fourth proportional to 161,477.60, 242,216.40 and 102,574.40 is: 153,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,477.60 : 242,216.40 = 102,574.40 : x
  2. Step 2: Convert to fraction form
    161,477.60/242,216.40 = 102,574.40/x
  3. Step 3: Cross multiply
    161,477.60x = 242,216.40 × 102,574.40
  4. Step 4: Simplify right side
    161,477.60x = 24,845,201,900.16
  5. Step 5: Solve for x
    x = 24,845,201,900.16/161,477.60
  6. Step 6: Final answer
    x = 153,861.60

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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.