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Finding the Fourth Proportional to 218,416.64, 301,507.95 and 146,838.17

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Solution

The fourth proportional to 218,416.64, 301,507.95 and 146,838.17 is: 202,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.64 : 301,507.95 = 146,838.17 : x
  2. Step 2: Convert to fraction form
    218,416.64/301,507.95 = 146,838.17/x
  3. Step 3: Cross multiply
    218,416.64x = 301,507.95 × 146,838.17
  4. Step 4: Simplify right side
    218,416.64x = 44,272,874,110.91
  5. Step 5: Solve for x
    x = 44,272,874,110.91/218,416.64
  6. Step 6: Final answer
    x = 202,699.19

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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.