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Finding the Fourth Proportional to 242,935.48, 364,403.28 and 130,460.98

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Solution

The fourth proportional to 242,935.48, 364,403.28 and 130,460.98 is: 195,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,935.48 : 364,403.28 = 130,460.98 : x
  2. Step 2: Convert to fraction form
    242,935.48/364,403.28 = 130,460.98/x
  3. Step 3: Cross multiply
    242,935.48x = 364,403.28 × 130,460.98
  4. Step 4: Simplify right side
    242,935.48x = 47,540,409,024.01
  5. Step 5: Solve for x
    x = 47,540,409,024.01/242,935.48
  6. Step 6: Final answer
    x = 195,691.50

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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.