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Finding the Fourth Proportional to 176,897.40, 265,346.10 and 106,038.60

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Solution

The fourth proportional to 176,897.40, 265,346.10 and 106,038.60 is: 159,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,897.40 : 265,346.10 = 106,038.60 : x
  2. Step 2: Convert to fraction form
    176,897.40/265,346.10 = 106,038.60/x
  3. Step 3: Cross multiply
    176,897.40x = 265,346.10 × 106,038.60
  4. Step 4: Simplify right side
    176,897.40x = 28,136,928,959.46
  5. Step 5: Solve for x
    x = 28,136,928,959.46/176,897.40
  6. Step 6: Final answer
    x = 159,057.90

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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.