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Finding the Fourth Proportional to 292,225.86, 438,341.42 and 92,547.23

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Solution

The fourth proportional to 292,225.86, 438,341.42 and 92,547.23 is: 138,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,225.86 : 438,341.42 = 92,547.23 : x
  2. Step 2: Convert to fraction form
    292,225.86/438,341.42 = 92,547.23/x
  3. Step 3: Cross multiply
    292,225.86x = 438,341.42 × 92,547.23
  4. Step 4: Simplify right side
    292,225.86x = 40,567,282,254.93
  5. Step 5: Solve for x
    x = 40,567,282,254.93/292,225.86
  6. Step 6: Final answer
    x = 138,821.67

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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.