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Finding the Fourth Proportional to 242,897.04, 364,379.52 and 65,409.84

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Solution

The fourth proportional to 242,897.04, 364,379.52 and 65,409.84 is: 98,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,897.04 : 364,379.52 = 65,409.84 : x
  2. Step 2: Convert to fraction form
    242,897.04/364,379.52 = 65,409.84/x
  3. Step 3: Cross multiply
    242,897.04x = 364,379.52 × 65,409.84
  4. Step 4: Simplify right side
    242,897.04x = 23,834,006,102.48
  5. Step 5: Solve for x
    x = 23,834,006,102.48/242,897.04
  6. Step 6: Final answer
    x = 98,123.91

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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.