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Finding the Fourth Proportional to 357,746.60, 536,865.94 and 147,384.54

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Solution

The fourth proportional to 357,746.60, 536,865.94 and 147,384.54 is: 221,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,746.60 : 536,865.94 = 147,384.54 : x
  2. Step 2: Convert to fraction form
    357,746.60/536,865.94 = 147,384.54/x
  3. Step 3: Cross multiply
    357,746.60x = 536,865.94 × 147,384.54
  4. Step 4: Simplify right side
    357,746.60x = 79,125,739,516.45
  5. Step 5: Solve for x
    x = 79,125,739,516.45/357,746.60
  6. Step 6: Final answer
    x = 221,178.17

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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.