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Finding the Fourth Proportional to 153,362.32, 211,621.62 and 85,363

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Solution

The fourth proportional to 153,362.32, 211,621.62 and 85,363 is: 117,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,362.32 : 211,621.62 = 85,363 : x
  2. Step 2: Convert to fraction form
    153,362.32/211,621.62 = 85,363/x
  3. Step 3: Cross multiply
    153,362.32x = 211,621.62 × 85,363
  4. Step 4: Simplify right side
    153,362.32x = 18,064,656,348.06
  5. Step 5: Solve for x
    x = 18,064,656,348.06/153,362.32
  6. Step 6: Final answer
    x = 117,790.71

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