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Finding the Fourth Proportional to 186,897.03, 257,918.22 and 102,014.16

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Solution

The fourth proportional to 186,897.03, 257,918.22 and 102,014.16 is: 140,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,897.03 : 257,918.22 = 102,014.16 : x
  2. Step 2: Convert to fraction form
    186,897.03/257,918.22 = 102,014.16/x
  3. Step 3: Cross multiply
    186,897.03x = 257,918.22 × 102,014.16
  4. Step 4: Simplify right side
    186,897.03x = 26,311,310,562.00
  5. Step 5: Solve for x
    x = 26,311,310,562.00/186,897.03
  6. Step 6: Final answer
    x = 140,779.71

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1.5x scale

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.