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Finding the Fourth Proportional to 141,409.94, 211,828.47 and 65,400.50

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Solution

The fourth proportional to 141,409.94, 211,828.47 and 65,400.50 is: 97,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409.94 : 211,828.47 = 65,400.50 : x
  2. Step 2: Convert to fraction form
    141,409.94/211,828.47 = 65,400.50/x
  3. Step 3: Cross multiply
    141,409.94x = 211,828.47 × 65,400.50
  4. Step 4: Simplify right side
    141,409.94x = 13,853,687,852.24
  5. Step 5: Solve for x
    x = 13,853,687,852.24/141,409.94
  6. Step 6: Final answer
    x = 97,968.27

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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.