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Finding the Fourth Proportional to 309,088.91, 463,699.96 and 95,852.57

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Solution

The fourth proportional to 309,088.91, 463,699.96 and 95,852.57 is: 143,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,088.91 : 463,699.96 = 95,852.57 : x
  2. Step 2: Convert to fraction form
    309,088.91/463,699.96 = 95,852.57/x
  3. Step 3: Cross multiply
    309,088.91x = 463,699.96 × 95,852.57
  4. Step 4: Simplify right side
    309,088.91x = 44,446,830,316.77
  5. Step 5: Solve for x
    x = 44,446,830,316.77/309,088.91
  6. Step 6: Final answer
    x = 143,799.50

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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.