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Finding the Fourth Proportional to 152,785.83, 210,840.41 and 84,802.63

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Solution

The fourth proportional to 152,785.83, 210,840.41 and 84,802.63 is: 117,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,785.83 : 210,840.41 = 84,802.63 : x
  2. Step 2: Convert to fraction form
    152,785.83/210,840.41 = 84,802.63/x
  3. Step 3: Cross multiply
    152,785.83x = 210,840.41 × 84,802.63
  4. Step 4: Simplify right side
    152,785.83x = 17,879,821,278.28
  5. Step 5: Solve for x
    x = 17,879,821,278.28/152,785.83
  6. Step 6: Final answer
    x = 117,025.39

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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.