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Finding the Fourth Proportional to 259,559.63, 358,205.86 and 152,164.16

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Solution

The fourth proportional to 259,559.63, 358,205.86 and 152,164.16 is: 209,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,559.63 : 358,205.86 = 152,164.16 : x
  2. Step 2: Convert to fraction form
    259,559.63/358,205.86 = 152,164.16/x
  3. Step 3: Cross multiply
    259,559.63x = 358,205.86 × 152,164.16
  4. Step 4: Simplify right side
    259,559.63x = 54,506,093,793.98
  5. Step 5: Solve for x
    x = 54,506,093,793.98/259,559.63
  6. Step 6: Final answer
    x = 209,994.50

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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.