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Finding the Fourth Proportional to 130,457, 180,030.66 and 70,841

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Solution

The fourth proportional to 130,457, 180,030.66 and 70,841 is: 97,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,457 : 180,030.66 = 70,841 : x
  2. Step 2: Convert to fraction form
    130,457/180,030.66 = 70,841/x
  3. Step 3: Cross multiply
    130,457x = 180,030.66 × 70,841
  4. Step 4: Simplify right side
    130,457x = 12,753,551,985.06
  5. Step 5: Solve for x
    x = 12,753,551,985.06/130,457
  6. Step 6: Final answer
    x = 97,760.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.