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Finding the Fourth Proportional to 186,784.48, 257,762.32 and 101,901.60

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Solution

The fourth proportional to 186,784.48, 257,762.32 and 101,901.60 is: 140,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,784.48 : 257,762.32 = 101,901.60 : x
  2. Step 2: Convert to fraction form
    186,784.48/257,762.32 = 101,901.60/x
  3. Step 3: Cross multiply
    186,784.48x = 257,762.32 × 101,901.60
  4. Step 4: Simplify right side
    186,784.48x = 26,266,392,827.71
  5. Step 5: Solve for x
    x = 26,266,392,827.71/186,784.48
  6. Step 6: Final answer
    x = 140,624.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.