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Finding the Fourth Proportional to 194,599.93, 268,547.74 and 105,175.93

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Solution

The fourth proportional to 194,599.93, 268,547.74 and 105,175.93 is: 145,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,599.93 : 268,547.74 = 105,175.93 : x
  2. Step 2: Convert to fraction form
    194,599.93/268,547.74 = 105,175.93/x
  3. Step 3: Cross multiply
    194,599.93x = 268,547.74 × 105,175.93
  4. Step 4: Simplify right side
    194,599.93x = 28,244,758,303.90
  5. Step 5: Solve for x
    x = 28,244,758,303.90/194,599.93
  6. Step 6: Final answer
    x = 145,142.70

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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.