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Finding the Fourth Proportional to 176,897.76, 265,070.16 and 102,063.84

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Solution

The fourth proportional to 176,897.76, 265,070.16 and 102,063.84 is: 152,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,897.76 : 265,070.16 = 102,063.84 : x
  2. Step 2: Convert to fraction form
    176,897.76/265,070.16 = 102,063.84/x
  3. Step 3: Cross multiply
    176,897.76x = 265,070.16 × 102,063.84
  4. Step 4: Simplify right side
    176,897.76x = 27,054,078,399.01
  5. Step 5: Solve for x
    x = 27,054,078,399.01/176,897.76
  6. Step 6: Final answer
    x = 152,936.24

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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.