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Finding the Fourth Proportional to 153,083, 211,180.93 and 99,384.86

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Solution

The fourth proportional to 153,083, 211,180.93 and 99,384.86 is: 137,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,083 : 211,180.93 = 99,384.86 : x
  2. Step 2: Convert to fraction form
    153,083/211,180.93 = 99,384.86/x
  3. Step 3: Cross multiply
    153,083x = 211,180.93 × 99,384.86
  4. Step 4: Simplify right side
    153,083x = 20,988,187,162.72
  5. Step 5: Solve for x
    x = 20,988,187,162.72/153,083
  6. Step 6: Final answer
    x = 137,103.32

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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.