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Finding the Fourth Proportional to 259,526.80, 358,212.22 and 146,415.16

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Solution

The fourth proportional to 259,526.80, 358,212.22 and 146,415.16 is: 202,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,526.80 : 358,212.22 = 146,415.16 : x
  2. Step 2: Convert to fraction form
    259,526.80/358,212.22 = 146,415.16/x
  3. Step 3: Cross multiply
    259,526.80x = 358,212.22 × 146,415.16
  4. Step 4: Simplify right side
    259,526.80x = 52,447,699,505.26
  5. Step 5: Solve for x
    x = 52,447,699,505.26/259,526.80
  6. Step 6: Final answer
    x = 202,089.72

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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.