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Finding the Fourth Proportional to 274,073.19, 411,114.33 and 96,582.35

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Solution

The fourth proportional to 274,073.19, 411,114.33 and 96,582.35 is: 144,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,073.19 : 411,114.33 = 96,582.35 : x
  2. Step 2: Convert to fraction form
    274,073.19/411,114.33 = 96,582.35/x
  3. Step 3: Cross multiply
    274,073.19x = 411,114.33 × 96,582.35
  4. Step 4: Simplify right side
    274,073.19x = 39,706,386,054.50
  5. Step 5: Solve for x
    x = 39,706,386,054.50/274,073.19
  6. Step 6: Final answer
    x = 144,875.12

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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.