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Finding the Fourth Proportional to 262,075.76, 392,880.92 and 102,114.64

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Solution

The fourth proportional to 262,075.76, 392,880.92 and 102,114.64 is: 153,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,075.76 : 392,880.92 = 102,114.64 : x
  2. Step 2: Convert to fraction form
    262,075.76/392,880.92 = 102,114.64/x
  3. Step 3: Cross multiply
    262,075.76x = 392,880.92 × 102,114.64
  4. Step 4: Simplify right side
    262,075.76x = 40,118,893,708.67
  5. Step 5: Solve for x
    x = 40,118,893,708.67/262,075.76
  6. Step 6: Final answer
    x = 153,081.28

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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.