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Finding the Fourth Proportional to 157,095.86, 216,755.39 and 89,097.47

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Solution

The fourth proportional to 157,095.86, 216,755.39 and 89,097.47 is: 122,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,095.86 : 216,755.39 = 89,097.47 : x
  2. Step 2: Convert to fraction form
    157,095.86/216,755.39 = 89,097.47/x
  3. Step 3: Cross multiply
    157,095.86x = 216,755.39 × 89,097.47
  4. Step 4: Simplify right side
    157,095.86x = 19,312,356,809.66
  5. Step 5: Solve for x
    x = 19,312,356,809.66/157,095.86
  6. Step 6: Final answer
    x = 122,933.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.