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Finding the Fourth Proportional to 117,762.84, 176,539.01 and 42,830.18

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Solution

The fourth proportional to 117,762.84, 176,539.01 and 42,830.18 is: 64,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,762.84 : 176,539.01 = 42,830.18 : x
  2. Step 2: Convert to fraction form
    117,762.84/176,539.01 = 42,830.18/x
  3. Step 3: Cross multiply
    117,762.84x = 176,539.01 × 42,830.18
  4. Step 4: Simplify right side
    117,762.84x = 7,561,196,478.48
  5. Step 5: Solve for x
    x = 7,561,196,478.48/117,762.84
  6. Step 6: Final answer
    x = 64,206.98

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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.