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Finding the Fourth Proportional to 214,346, 295,730.15 and 123,690.06

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Solution

The fourth proportional to 214,346, 295,730.15 and 123,690.06 is: 170,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,346 : 295,730.15 = 123,690.06 : x
  2. Step 2: Convert to fraction form
    214,346/295,730.15 = 123,690.06/x
  3. Step 3: Cross multiply
    214,346x = 295,730.15 × 123,690.06
  4. Step 4: Simplify right side
    214,346x = 36,578,879,997.31
  5. Step 5: Solve for x
    x = 36,578,879,997.31/214,346
  6. Step 6: Final answer
    x = 170,653.43

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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.