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Finding the Fourth Proportional to 186,336, 257,148.24 and 101,457.68

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Solution

The fourth proportional to 186,336, 257,148.24 and 101,457.68 is: 140,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,336 : 257,148.24 = 101,457.68 : x
  2. Step 2: Convert to fraction form
    186,336/257,148.24 = 101,457.68/x
  3. Step 3: Cross multiply
    186,336x = 257,148.24 × 101,457.68
  4. Step 4: Simplify right side
    186,336x = 26,089,663,846.48
  5. Step 5: Solve for x
    x = 26,089,663,846.48/186,336
  6. Step 6: Final answer
    x = 140,014.08

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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.