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Finding the Fourth Proportional to 176,970.96, 265,303.80 and 83,411.28

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Solution

The fourth proportional to 176,970.96, 265,303.80 and 83,411.28 is: 125,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,970.96 : 265,303.80 = 83,411.28 : x
  2. Step 2: Convert to fraction form
    176,970.96/265,303.80 = 83,411.28/x
  3. Step 3: Cross multiply
    176,970.96x = 265,303.80 × 83,411.28
  4. Step 4: Simplify right side
    176,970.96x = 22,129,329,546.86
  5. Step 5: Solve for x
    x = 22,129,329,546.86/176,970.96
  6. Step 6: Final answer
    x = 125,044.98

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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.