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Finding the Fourth Proportional to 161,466.84, 242,119.26 and 102,421.08

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Solution

The fourth proportional to 161,466.84, 242,119.26 and 102,421.08 is: 153,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,466.84 : 242,119.26 = 102,421.08 : x
  2. Step 2: Convert to fraction form
    161,466.84/242,119.26 = 102,421.08/x
  3. Step 3: Cross multiply
    161,466.84x = 242,119.26 × 102,421.08
  4. Step 4: Simplify right side
    161,466.84x = 24,798,116,098.00
  5. Step 5: Solve for x
    x = 24,798,116,098.00/161,466.84
  6. Step 6: Final answer
    x = 153,580.24

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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.