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Finding the Fourth Proportional to 224,185.32, 309,375.46 and 123,585

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Solution

The fourth proportional to 224,185.32, 309,375.46 and 123,585 is: 170,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,185.32 : 309,375.46 = 123,585 : x
  2. Step 2: Convert to fraction form
    224,185.32/309,375.46 = 123,585/x
  3. Step 3: Cross multiply
    224,185.32x = 309,375.46 × 123,585
  4. Step 4: Simplify right side
    224,185.32x = 38,234,166,224.10
  5. Step 5: Solve for x
    x = 38,234,166,224.10/224,185.32
  6. Step 6: Final answer
    x = 170,547.14

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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.