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Finding the Fourth Proportional to 177,281.64, 265,886.70 and 64,923.50

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Solution

The fourth proportional to 177,281.64, 265,886.70 and 64,923.50 is: 97,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,281.64 : 265,886.70 = 64,923.50 : x
  2. Step 2: Convert to fraction form
    177,281.64/265,886.70 = 64,923.50/x
  3. Step 3: Cross multiply
    177,281.64x = 265,886.70 × 64,923.50
  4. Step 4: Simplify right side
    177,281.64x = 17,262,295,167.45
  5. Step 5: Solve for x
    x = 17,262,295,167.45/177,281.64
  6. Step 6: Final answer
    x = 97,372.15

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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.