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Finding the Fourth Proportional to 242,357.96, 334,405.14 and 146,809.16

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Solution

The fourth proportional to 242,357.96, 334,405.14 and 146,809.16 is: 202,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,357.96 : 334,405.14 = 146,809.16 : x
  2. Step 2: Convert to fraction form
    242,357.96/334,405.14 = 146,809.16/x
  3. Step 3: Cross multiply
    242,357.96x = 334,405.14 × 146,809.16
  4. Step 4: Simplify right side
    242,357.96x = 49,093,737,703.08
  5. Step 5: Solve for x
    x = 49,093,737,703.08/242,357.96
  6. Step 6: Final answer
    x = 202,567.05

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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.