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Finding the Fourth Proportional to 205,330.10, 286,762.30 and 205,330.10

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Solution

The fourth proportional to 205,330.10, 286,762.30 and 205,330.10 is: 286,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,330.10 : 286,762.30 = 205,330.10 : x
  2. Step 2: Convert to fraction form
    205,330.10/286,762.30 = 205,330.10/x
  3. Step 3: Cross multiply
    205,330.10x = 286,762.30 × 205,330.10
  4. Step 4: Simplify right side
    205,330.10x = 58,880,931,735.23
  5. Step 5: Solve for x
    x = 58,880,931,735.23/205,330.10
  6. Step 6: Final answer
    x = 286,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.