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Finding the Fourth Proportional to 280,456.83, 387,038.52 and 153,140.76

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Solution

The fourth proportional to 280,456.83, 387,038.52 and 153,140.76 is: 211,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,456.83 : 387,038.52 = 153,140.76 : x
  2. Step 2: Convert to fraction form
    280,456.83/387,038.52 = 153,140.76/x
  3. Step 3: Cross multiply
    280,456.83x = 387,038.52 × 153,140.76
  4. Step 4: Simplify right side
    280,456.83x = 59,271,373,102.08
  5. Step 5: Solve for x
    x = 59,271,373,102.08/280,456.83
  6. Step 6: Final answer
    x = 211,338.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.