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Finding the Fourth Proportional to 612,149, 918,225.64 and 185,688.50

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Solution

The fourth proportional to 612,149, 918,225.64 and 185,688.50 is: 278,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,149 : 918,225.64 = 185,688.50 : x
  2. Step 2: Convert to fraction form
    612,149/918,225.64 = 185,688.50/x
  3. Step 3: Cross multiply
    612,149x = 918,225.64 × 185,688.50
  4. Step 4: Simplify right side
    612,149x = 170,503,941,753.14
  5. Step 5: Solve for x
    x = 170,503,941,753.14/612,149
  6. Step 6: Final answer
    x = 278,533.40

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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.