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Finding the Fourth Proportional to 159,106.64, 238,707.32 and 65,618

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Solution

The fourth proportional to 159,106.64, 238,707.32 and 65,618 is: 98,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,106.64 : 238,707.32 = 65,618 : x
  2. Step 2: Convert to fraction form
    159,106.64/238,707.32 = 65,618/x
  3. Step 3: Cross multiply
    159,106.64x = 238,707.32 × 65,618
  4. Step 4: Simplify right side
    159,106.64x = 15,663,496,923.76
  5. Step 5: Solve for x
    x = 15,663,496,923.76/159,106.64
  6. Step 6: Final answer
    x = 98,446.53

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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.