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Finding the Fourth Proportional to 210,265.86, 314,990.28 and 186,704.58

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Solution

The fourth proportional to 210,265.86, 314,990.28 and 186,704.58 is: 279,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,265.86 : 314,990.28 = 186,704.58 : x
  2. Step 2: Convert to fraction form
    210,265.86/314,990.28 = 186,704.58/x
  3. Step 3: Cross multiply
    210,265.86x = 314,990.28 × 186,704.58
  4. Step 4: Simplify right side
    210,265.86x = 58,810,127,931.48
  5. Step 5: Solve for x
    x = 58,810,127,931.48/210,265.86
  6. Step 6: Final answer
    x = 279,694.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.