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Finding the Fourth Proportional to 190,202, 262,547.88 and 110,714

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Solution

The fourth proportional to 190,202, 262,547.88 and 110,714 is: 152,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,202 : 262,547.88 = 110,714 : x
  2. Step 2: Convert to fraction form
    190,202/262,547.88 = 110,714/x
  3. Step 3: Cross multiply
    190,202x = 262,547.88 × 110,714
  4. Step 4: Simplify right side
    190,202x = 29,067,725,986.32
  5. Step 5: Solve for x
    x = 29,067,725,986.32/190,202
  6. Step 6: Final answer
    x = 152,825.55

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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.