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Finding the Fourth Proportional to 162,461.40, 243,692.10 and 160,128.60

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Solution

The fourth proportional to 162,461.40, 243,692.10 and 160,128.60 is: 240,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,461.40 : 243,692.10 = 160,128.60 : x
  2. Step 2: Convert to fraction form
    162,461.40/243,692.10 = 160,128.60/x
  3. Step 3: Cross multiply
    162,461.40x = 243,692.10 × 160,128.60
  4. Step 4: Simplify right side
    162,461.40x = 39,022,074,804.06
  5. Step 5: Solve for x
    x = 39,022,074,804.06/162,461.40
  6. Step 6: Final answer
    x = 240,192.90

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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.