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Finding the Fourth Proportional to 259,644.96, 358,316.46 and 146,475

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Solution

The fourth proportional to 259,644.96, 358,316.46 and 146,475 is: 202,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,644.96 : 358,316.46 = 146,475 : x
  2. Step 2: Convert to fraction form
    259,644.96/358,316.46 = 146,475/x
  3. Step 3: Cross multiply
    259,644.96x = 358,316.46 × 146,475
  4. Step 4: Simplify right side
    259,644.96x = 52,484,403,478.50
  5. Step 5: Solve for x
    x = 52,484,403,478.50/259,644.96
  6. Step 6: Final answer
    x = 202,139.12

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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.