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Finding the Fourth Proportional to 242,962.09, 364,401.61 and 65,427.58

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Solution

The fourth proportional to 242,962.09, 364,401.61 and 65,427.58 is: 98,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,962.09 : 364,401.61 = 65,427.58 : x
  2. Step 2: Convert to fraction form
    242,962.09/364,401.61 = 65,427.58/x
  3. Step 3: Cross multiply
    242,962.09x = 364,401.61 × 65,427.58
  4. Step 4: Simplify right side
    242,962.09x = 23,841,913,341.26
  5. Step 5: Solve for x
    x = 23,841,913,341.26/242,962.09
  6. Step 6: Final answer
    x = 98,130.18

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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.