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Finding the Fourth Proportional to 186,295.92, 257,088.51 and 101,413.14

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Solution

The fourth proportional to 186,295.92, 257,088.51 and 101,413.14 is: 139,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,295.92 : 257,088.51 = 101,413.14 : x
  2. Step 2: Convert to fraction form
    186,295.92/257,088.51 = 101,413.14/x
  3. Step 3: Cross multiply
    186,295.92x = 257,088.51 × 101,413.14
  4. Step 4: Simplify right side
    186,295.92x = 26,072,153,057.02
  5. Step 5: Solve for x
    x = 26,072,153,057.02/186,295.92
  6. Step 6: Final answer
    x = 139,950.21

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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.