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Finding the Fourth Proportional to 159,258.32, 238,835.16 and 70,509.92

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Solution

The fourth proportional to 159,258.32, 238,835.16 and 70,509.92 is: 105,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,258.32 : 238,835.16 = 70,509.92 : x
  2. Step 2: Convert to fraction form
    159,258.32/238,835.16 = 70,509.92/x
  3. Step 3: Cross multiply
    159,258.32x = 238,835.16 × 70,509.92
  4. Step 4: Simplify right side
    159,258.32x = 16,840,248,024.79
  5. Step 5: Solve for x
    x = 16,840,248,024.79/159,258.32
  6. Step 6: Final answer
    x = 105,741.72

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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.