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Finding the Fourth Proportional to 213,790.58, 320,595.65 and 64,052.16

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Solution

The fourth proportional to 213,790.58, 320,595.65 and 64,052.16 is: 96,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,790.58 : 320,595.65 = 64,052.16 : x
  2. Step 2: Convert to fraction form
    213,790.58/320,595.65 = 64,052.16/x
  3. Step 3: Cross multiply
    213,790.58x = 320,595.65 × 64,052.16
  4. Step 4: Simplify right side
    213,790.58x = 20,534,843,869.10
  5. Step 5: Solve for x
    x = 20,534,843,869.10/213,790.58
  6. Step 6: Final answer
    x = 96,051.21

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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.