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Finding the Fourth Proportional to 255,096.60, 382,817.70 and 166,133.40

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Solution

The fourth proportional to 255,096.60, 382,817.70 and 166,133.40 is: 249,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,096.60 : 382,817.70 = 166,133.40 : x
  2. Step 2: Convert to fraction form
    255,096.60/382,817.70 = 166,133.40/x
  3. Step 3: Cross multiply
    255,096.60x = 382,817.70 × 166,133.40
  4. Step 4: Simplify right side
    255,096.60x = 63,598,806,081.18
  5. Step 5: Solve for x
    x = 63,598,806,081.18/255,096.60
  6. Step 6: Final answer
    x = 249,312.64

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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.