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Finding the Fourth Proportional to 145,873.40, 218,810.10 and 86,678.60

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Solution

The fourth proportional to 145,873.40, 218,810.10 and 86,678.60 is: 130,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,873.40 : 218,810.10 = 86,678.60 : x
  2. Step 2: Convert to fraction form
    145,873.40/218,810.10 = 86,678.60/x
  3. Step 3: Cross multiply
    145,873.40x = 218,810.10 × 86,678.60
  4. Step 4: Simplify right side
    145,873.40x = 18,966,153,133.86
  5. Step 5: Solve for x
    x = 18,966,153,133.86/145,873.40
  6. Step 6: Final answer
    x = 130,017.90

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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.