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Finding the Fourth Proportional to 238,416, 328,868.16 and 141,554.14

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Solution

The fourth proportional to 238,416, 328,868.16 and 141,554.14 is: 195,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,416 : 328,868.16 = 141,554.14 : x
  2. Step 2: Convert to fraction form
    238,416/328,868.16 = 141,554.14/x
  3. Step 3: Cross multiply
    238,416x = 328,868.16 × 141,554.14
  4. Step 4: Simplify right side
    238,416x = 46,552,649,562.18
  5. Step 5: Solve for x
    x = 46,552,649,562.18/238,416
  6. Step 6: Final answer
    x = 195,258.08

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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.