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Finding the Fourth Proportional to 152,298, 210,142.08 and 98,575.56

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Solution

The fourth proportional to 152,298, 210,142.08 and 98,575.56 is: 136,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298 : 210,142.08 = 98,575.56 : x
  2. Step 2: Convert to fraction form
    152,298/210,142.08 = 98,575.56/x
  3. Step 3: Cross multiply
    152,298x = 210,142.08 × 98,575.56
  4. Step 4: Simplify right side
    152,298x = 20,714,873,215.56
  5. Step 5: Solve for x
    x = 20,714,873,215.56/152,298
  6. Step 6: Final answer
    x = 136,015.40

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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.