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Finding the Fourth Proportional to 177,412.80, 265,681.80 and 117,926.40

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Solution

The fourth proportional to 177,412.80, 265,681.80 and 117,926.40 is: 176,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,412.80 : 265,681.80 = 117,926.40 : x
  2. Step 2: Convert to fraction form
    177,412.80/265,681.80 = 117,926.40/x
  3. Step 3: Cross multiply
    177,412.80x = 265,681.80 × 117,926.40
  4. Step 4: Simplify right side
    177,412.80x = 31,330,898,219.52
  5. Step 5: Solve for x
    x = 31,330,898,219.52/177,412.80
  6. Step 6: Final answer
    x = 176,598.86

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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.