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Finding the Fourth Proportional to 342,533.02, 513,848.76 and 105,894.16

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Solution

The fourth proportional to 342,533.02, 513,848.76 and 105,894.16 is: 158,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,533.02 : 513,848.76 = 105,894.16 : x
  2. Step 2: Convert to fraction form
    342,533.02/513,848.76 = 105,894.16/x
  3. Step 3: Cross multiply
    342,533.02x = 513,848.76 × 105,894.16
  4. Step 4: Simplify right side
    342,533.02x = 54,413,582,807.24
  5. Step 5: Solve for x
    x = 54,413,582,807.24/342,533.02
  6. Step 6: Final answer
    x = 158,856.46

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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.