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Finding the Fourth Proportional to 242,804.04, 364,206.06 and 76,605

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Solution

The fourth proportional to 242,804.04, 364,206.06 and 76,605 is: 114,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,804.04 : 364,206.06 = 76,605 : x
  2. Step 2: Convert to fraction form
    242,804.04/364,206.06 = 76,605/x
  3. Step 3: Cross multiply
    242,804.04x = 364,206.06 × 76,605
  4. Step 4: Simplify right side
    242,804.04x = 27,900,005,226.30
  5. Step 5: Solve for x
    x = 27,900,005,226.30/242,804.04
  6. Step 6: Final answer
    x = 114,907.50

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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.