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Finding the Fourth Proportional to 190,842, 286,263.12 and 59,514

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Solution

The fourth proportional to 190,842, 286,263.12 and 59,514 is: 89,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,842 : 286,263.12 = 59,514 : x
  2. Step 2: Convert to fraction form
    190,842/286,263.12 = 59,514/x
  3. Step 3: Cross multiply
    190,842x = 286,263.12 × 59,514
  4. Step 4: Simplify right side
    190,842x = 17,036,663,323.68
  5. Step 5: Solve for x
    x = 17,036,663,323.68/190,842
  6. Step 6: Final answer
    x = 89,271.04

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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.