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Finding the Fourth Proportional to 259,322.59, 357,710.95 and 201,870.98

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Solution

The fourth proportional to 259,322.59, 357,710.95 and 201,870.98 is: 278,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,322.59 : 357,710.95 = 201,870.98 : x
  2. Step 2: Convert to fraction form
    259,322.59/357,710.95 = 201,870.98/x
  3. Step 3: Cross multiply
    259,322.59x = 357,710.95 × 201,870.98
  4. Step 4: Simplify right side
    259,322.59x = 72,211,457,740.00
  5. Step 5: Solve for x
    x = 72,211,457,740.00/259,322.59
  6. Step 6: Final answer
    x = 278,461.89

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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.