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Finding the Fourth Proportional to 144,364.42, 216,590.37 and 65,457.46

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Solution

The fourth proportional to 144,364.42, 216,590.37 and 65,457.46 is: 98,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,364.42 : 216,590.37 = 65,457.46 : x
  2. Step 2: Convert to fraction form
    144,364.42/216,590.37 = 65,457.46/x
  3. Step 3: Cross multiply
    144,364.42x = 216,590.37 × 65,457.46
  4. Step 4: Simplify right side
    144,364.42x = 14,177,455,480.66
  5. Step 5: Solve for x
    x = 14,177,455,480.66/144,364.42
  6. Step 6: Final answer
    x = 98,206.02

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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.