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Finding the Fourth Proportional to 183,041.51, 274,457.11 and 97,547.10

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Solution

The fourth proportional to 183,041.51, 274,457.11 and 97,547.10 is: 146,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,041.51 : 274,457.11 = 97,547.10 : x
  2. Step 2: Convert to fraction form
    183,041.51/274,457.11 = 97,547.10/x
  3. Step 3: Cross multiply
    183,041.51x = 274,457.11 × 97,547.10
  4. Step 4: Simplify right side
    183,041.51x = 26,772,495,608.52
  5. Step 5: Solve for x
    x = 26,772,495,608.52/183,041.51
  6. Step 6: Final answer
    x = 146,264.62

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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.